{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "pycharm": {
     "is_executing": true
    }
   },
   "source": [
    "## 神经网络初始化、正则化、梯度检验"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7X5tJdXYR4f07EDWmL5KXAtmAxKhmm0t6WjG52eVERgcSm3BidQ9vKLLCa08v5mBqEbbDBuDfHJF/BVDkEvx/Osj4CzoxaVoXRKnhqzRVVdm1LYc5s3aRllyIw64gigJRrYNo2SqAHVuysNtkRFFg9m87mTK9K1Mv7e42xobV6cyfvZeKMgtdekQyZXpXwlr61xwjCAIPPT2KuX/sZunCZKwWB117RjL96p6ER/gfPy2WXPo85rySmiQUe4UZR7WVFdfOYMLiN5i89gO2PPU1eat2YgwNoPP9F9Pxtin8GHqh5/sEirYkawZNA9AMmsZpzJanv65xTQFkzttIztJt6AP9ahTkjyD5Gun5dP0U5OtCZYWVN5//j8xDpYiigKKoxCaE8OCTo/Hz9y4t5Y1tm7JIP1BcY8wA5GPuo6LcyuzfdlKYX8UNdza8SefPX29m6fz9LtdRFJVDB0o4dKDkmGuryLLMnN930bNvDHGJR431T19uYvmilBp34or/Uli/6iDPvTmRiMijKzq9XmLqZd2ZelnttXLZuw6RUuBADG5JUHFeTQ6IKivkrdqFtaSCkK4JjP7TvUzCp1UI9vIqt+2iJOEXE1an38mpxlZeRdrPSyjbl0FItwQSLhuB3s97Dz2N+qNlOWo0KZbCMqqzC2vNQivcvJ9lV73E7H53sO7e96k4mOs+TlEZu9/8zbU7tKoim22YWgbTok97JJMBXYAP+iA/Brx7NzET+jf5/Xz6zirSD5Rgs8pYzA5sVpmDKcV88V7D+opt3ZCB1VK7ZqHNKrNqaSqlxbVrQXojO6OMJccZsxNhtzuveYSCvEqWLtjvEhtTZBWLxcHvP2yr13xUVeXnrzbx1LMr2N1tMDsHjGbt2EupDAiuOUaQBLdO4MfS7f+ucO85JwjoA3yIGls/6a1TQcnug/yWcBUb//cJe96dxfr7PuD3NldTkebeoFWj4WgrNI0moSw5kxXXvELxtlQEUcA3OoyhX/zPLeswbeYSVt74OsphdYqizfvZ9+kczl/yBhFDjsZcCtbvQzToPapYlO46yPWORVRl5GMrrSSoY2yT1CgdT3mZhT07cpEdrll8DofCji1ZVFVa8fOvn4qFj6/eWYB8gqxzvV7i0MESgkPr3ypn26ZMlNrS4z2gqmCpPurG3bsr1+nyPC6DUVVUdm7NRlVVrBYHBoN0QtfoyiWpLFmwH4dDBZ3z7yTr9GwfPIFBC39FVBWMLYLwjfa+0mp3/XjKkzPZ884sRKMeVVbwiQhh7L8v1ynmqMgyh/5azYFflyGZDLS9dhyRo3qdsGC9YOM+kr+aj62sktipQ4i/6DwXKbO6suyy57GVVtb84R1VFmSzjRXXzmDSqvfqPZ6GZzSDplFvbGWVZM7dgGy1ETW2D4ZAP/4dci/WovKaL2xFajaLJj3GlE2f1Aj2ylYbq297q8aYHUG1O1gw7v+4qvgvJKPTjWcM8fdahCv5GBAEAf/YCIiNaLb7rKywopNEj2npkiRSWWGrt0EbOqoNSxckn3D1JMtKg4wZgCgJ1FdYxGjS0WfgUWFlk0lf6xgP3PwHZaVmdDqR4WPacdn1vdHrPRuWf37bic163P0KAoooUtQqhlZleQz+6L5ajYsgCPR9+Wa6PnQJRZv2YwwLokXvdnVSUFHsDhae/ygF6/fWrALT/1hJm6vHMPjjB7yet+2F79jx6kznS5WikjFnHbvf+o3zl72NqNeR8c9aCjbuwy8mnMQrRrkJWR+hIi2bigO57tmbikLhpiQsRWV17k2nUTuaQdOoFwd+W87K619F0ImgqKiyQuToXodV2V2/sLLVzq43fmXoF/8DoHBzstcMRdlsJfXHxbS/0ZllGD6gE4ZgfzdZJsmkp90NE5rhztwJj/DH21Nd0gm0CPfzeq6qqqQmFbJnZy4+vnoGDIkjMNiH2IRQpl7enb9+3oGqqjgc7sZSFAVatgogNr5hZQN9BsTy+/fbvO4XBJB0Rw21wSiR0LYF3XsfTarp0SfK4ypSlARsVgfmw6s5myyzbFEyxUVV3PvoCI/XKypwj30BKKKIb8+OTHjqYVoOrFvdnalFkJvSy4lI/ek/F2MGzhVS6veLaXvtOI8lC+UpWeyY8bNLjaCj0kzJroPsfH0mB35eSlVWIY5KM5KvkU2Pfc64ea8SMdh9LNliq6lvPB5BFD0mOGk0DC2GplFnKg/lsfL6GchmK44Ks9NtYrGROW+Dx/iHKisUHyPvJBl0nntSHSZr/lE1CEEUGfvvyxjDgtAH+CIY9VRFRlE+eDCB1114UpQi9HqJi67ojsHouvIwGCUuvqoXOp3nr4/DofD2i0t57ZnF/PHTNn75dgsP3vonm9Y6ywomX9SVl96bwkVX9uSiK3rQrVcker2Ej68eo0lHq+hAHnpqVIPnHR7hz8VX9cBgkFzssSBAi3A/HnluDBdd0YPWccHEJ4Zy+fV9ePiZ0S6uQ6NJzz3/NxyjUYfB6BzHaNIhSSKy7Pq7t9tkdmzJpiCvwm0uqqq6HV+zT9LR4Y4L6mzMGkrKtws8fj4dZitpvyzzeE76n6tQPbxsyGYru9+eRUVaTs3Lllzt/D78d+FTKB4aoAZ2aI3O1/NK3jc6DJ/IFvW4G43a0FZoGpjzS7AUlDklkGpRNk/5bhGqp4eTl3iNIIkEd42v+blF73ZIeh2y7B4XQ8BNNzG0WyKXZcxk/x9r+GZuFsUWp6Hb+cZqQsN8+b8XxhEc0rxZYuMv6Ix/gJG/ftlBUWE1LcL9uOiK7gwaluj1nMX/7mPvrtwaN9uR+qwPXlvBjXcP4rxRbYiIDGDSRUff5gvyKjl0oJjQMD/i24Q2Woz4/Au70KVnFKv+S6Gy0kp82zC6dG9FVEwQguAsep50Uddax+jWK4q3vriIDavTqSi30L5TS2Y8tcjjsTqdSEZ6qUeVfVESUDx8bkRRIDLmJLjaanv58bJPlRWvL0328iqPrYgUq5381btpdVxnBFGSGPL5Qyy74sUa96UgiYhGPUM+f6hZhKfPVTSDdg5jLalgxTUvk/3fViSDHlVR6P74VXR/9AqPXzJzXjGKre7uEdGop+tDl9T8LIgi/d68g3V3vet2rGQ00P5m96JmyWhg0UEoNHPYPed8a87NruDD11fwxMvj6zyfuuJwKGzblEluVjmtogMZcF4CQ0a2qfP5Sxcku8eMcD47v/14Pft25nHLfYNdfsfhEf4e67YaQ2x8CFfeVD/33PH4BxgZNeFojVdAoJGKcvdmpLKs0CLM3QUrCAJ9BrRm09pDbrZDb5Do0KX5YqBHaHvteAo37Xdbpel8jSRcOqLmZ9lqo2T3QYzB/sROHcy2F75HPs6jIBr13r8DguDWP+8IsVMGM2nlu+x8/RdKd6fToldbuj58WbM0Mz2X0QzaOYaqqpSnZCGbray5/R2KtuxHsTlq/Pg7XvoRY4tAOt7qLsobNao3Kd8u9Nhu5HhEvY5Rvz1DaHdXQ9DpjguoPJjL7rd/B1VFEEUESaD3yzcR2CWBVUtS2bj2ED4+eoaPbUt82xZs35zlFmtSFJW05EKKi6oJbVH35IkDKUX8+8ducjLLiEsMYeJFXYmJDa7ZX1RQxYuPzae6yobNKmMwSvj4GnhqxoRaY2Y7t2Yz68dt5GSVY7N6T8t3OBQ2rDnI6IkdaNP+zKifOpbzp3Xhr5nbXQy2KAm0igp0qWE7lqtu7kfyvgLM1XasFgeSTkSSBO54cKjXRJKmpM3VY0j+dgFFm48aNZ2fiYRLR9DycMxr32dz2PTwpwAoDgdBHWNpc9Vo0n5ecvQcXxP+Ca3QB/lRsGa323UUu71mPE+06NWOET892dS3p3EMWj+0c4iSXQdYcslzVGXkg4qbQOwRfGPCuOzQL27bFYfMP/3voGzvIeQTBLJbTxnEmL9f9Lq/4mAuGXPWIYgCsVMHow8L4cXHFpCbVV5T+2QwSgwensDqZQdq3HbHc/cjw+g3OK7WuRxh87pDfPL2Kuw2GVV1urx0epEHnxxFp26tUFWVR+/6m9xs11iQKAoktg/jqRmek1HWrzrIF++tqVfdV89+0TzwRMPjZM1BZbkVQaTWzE1FUfnpq00sXbAfvV5CdijExAVz/xMjCQr27v61mO2sWZ5G0u58wlr6M2JcW4/uyeZCccgcnLWCAzOXOhOLrp9A1Li+CIJAxtz1LLv0Oafk1mEEUcQnKpQhXz5MyuG0/fiLziPxqjGU78/k3/PuQ7bYjjZi9TXS5+Wb6XzvRfWem2y1kf7nKspTsgnuFEvsBYMbVBpwrlBbPzTNoJ0j2Cuq+TX+CmwllSc+WBS4wbHY8ziVZra/+AMp3y3EUW3BXmUB2XX1pPMzMfK3Z+pV6Dzvr9388dN2N6OgN0joDSLVlZ4NaMtW/rz28YUnjEMossI91/9OZYW7EW/Zyp9XP5rK/901m/wc98QGAJ1e5M3PLnKL2SmKygM3zaK05MSr1mORJIGb7hnMkBHeY3EniwMpRXzx/hpys8pRgfjEUG65bzCR0d7jW5XlVjIPlRIc4tNgHciThaqqtX4+5gy+h4J1e9y26wN8GfbDY8ROGey2rzw1m52v/kzeql34xbWk20OXEjWmT73nVp6azdyh92KvsuCosqDzN2EMCWDSqvfwiwmv93jnAlqDTw3SZi71mjJ/PLV18dX7+9B3xi30nXELAHs++JNNj3wGHH5wiAIdbpvsMbX6YGoRyxelUFlhpVf/GPoPjkN32OW0elmaxxWO7FDo2jOSrRsyPc6ntMRMTlY5USdILsjOLMNu97yCKi6qZubXm70aMwBRFLFa7ICrQSsvs1BV6Xmle0QqyxOyrPL791tPuUErKqjilScXuqiXpCUX8sL/zef1T6Z5lffyDzTSsWvzx78aiqqqLF+YzF+/7KCk2ExwiA9TL+3GyAnt3YybN7UO2WqnIjXH477ANlEM+eyhRs9z6SXPYi4orUmsclSYkautrLj2Fa2LQAPQDNo5Qtn+jFqlhY4g+Rrp9fwNdR63893TiJs2lPQ/VqHYHbSePJCg9q3djjuyArM7FFRFZfumLOb+uZsnX5mAyUeP1+6OAsTEBrN9U5ZH4yCKQq0xqyPoDZL35pKq06DWhsmkI7yle9KGj4/OaxKdJIlEtQ4gM73U4/6SYjN2u+w1jqTICssXp/DfvP1YzHZ69oth8sVdmzSzc+GcvW5KKKp6WAprSQrjL2h8Sn1ZqRlVURtcKF5XSoqrWb4wmezMcsrLzCTtya/JriwtMfPzN5uprrIxebprF4CQrgnkLNnqNp5o0BFyTJZuY6jOKWL7Sz9w6O816HyNxF86ksq0LIq3p7plTKqyQv6aPViLyzGGnt6r39MNzaCdI4R2b4PO34Sj0oNREwV0JiOiQUfvF26g7TVj6zW2X3Q4ne+Z5nV/UUEVs37chv0YxQ2r1UFuVjnz/t7DtMt7MHRUG2b9sNVtlSZJIoOHJ7Jx7SFys8rdxpYkkdZ1KECOiAykRUs/crLKXR4gwuH42KG0Yq/nCgJcc2s/jxJPRpOenv1i2LYx0yVxRRQFYhNCuOmeQTz9wL8eC6iNJp3XWjaAD99Yyc4tWVgPJ2Asmb+f9SsP8sI7k5vMqB1IKfI4N5tV5kBKUaPGPnSwhM/eWU1OVhngzOS85d4hzZIMk7wvn9ef/Q9ZVrw2HLVZZWb/votxF3TGYDj6EtHr2evIX7vHJaYs6CX8WocTOapXo+dmzivm7163Yi2pqOnjt+OlH2o9R5AEHNVWjA1v7HBOohVWn0UosvfW9PHTh6H393VTLND5Gpm0+n0u3PUlV+T/Qae7LmzyeW3ZkOFRccNuV1i91LkyGjWhPdGxwRhNzncsQXAmhYyf0pGo1kHccOdADEYJUTw8zuH9190+AKmObVbufngYfn4GjEbnNYwmHYGBRm69bwjtOnqPVwwemUj/IfFe999410Bi4pxzNxglTCYdYRH+3P1/w4luHUxcm1AkyfX+DUaJcZM7eo3tpCUXsuMYYwZO92tVpY1//9hVp/utC1ExQUd/p8eg10tEtQ5u8LjlZRZefnwBGQdLcNidRiYns5xXn17kVTmkoaiqyoevr8RqcXg1ZkcQBCjMd40jRwztxoiZT+LXOhzRqEc06IiZ0J+Jy99pkkaru978DVtppVtT2towhdWubanhGW2FdhaQ/vdqNj78CRUp2egDfel09zR6PXOtS6aUzsfI5LUfsOL6VylYuxsEAf/Ylgz57CFaDuhEWXIma+54m4J1ewlIjKTbI5cTMaT2wtu6oqqq9wLWw9sNBoknZ0xg45p0Nq89hMlHz7AxbWnf2RnP69glgmden8i/s3aRnlZMRFQgky/uQpv2dQ+cx8SF8ObnF7F+5UGyM8uIjQ+h/5A4DEYd19w2gEfv/tutANjHV8+Ndw6qdVw/fyPPvjGR1KRCMjNKiWgVQIcuETWG4v7HR/LuK0s5lFZyWHJKZuB5CVx4ufd2K7u353h8OMuywrYNmVzVyPqyI4yb0skZv7QevzIWGD62bYPHXb4o2ePKT3YoLJ6bxGXX9W7w2MeTmV5KdZWHYn0POBwKgYEmt+2xUwbTevIgLPkl6Px80Ps3nVs34991dY5fg9PtP+jjB7SC6wagGbQznEOz17D8qpdquvnay6vZ/c7vVKbnMvz7x12O9Y+LYOLSt7CWVqLY7Ag6ifzVu9j70d9s/L9PUSx2VFmhdPdBsv/bwqAP7qXd9Y3TTayqtJKfW+nibjyCTi8ycFjC0Z91IoOGJTDomG3HEhMbzG0PDG3UfHx89IwY185te0RkAC++PZnP31vNwbQSRFGgW68obn9gaK1uwSMIgkDbjuG09bDSCwwy8dSM88nNKqe4qIro2OBaU9wBTD56JJ2I4iFRxhlzbBqiYoK499ERfPbOame5hKriH2jizv+dd8I51kZ6WrHHUguHQyE9tYiKcgvLFiaTllxIVEwwoya0r7XOrzYURfUWgXWje+9o/AM9lyUIgoBPRNP7+AzBdSyYFwRa9GrLoI/uJ7x/xyafx7mAlrZ/hjOr43WU73fPAJRMBi5K+tZrxuLON35h69PfIBp02CvNHuWrdP4+XJH/BzpT/RtZglOt/qkH5lBRZnEzaAajRGgLP555/Xx8/Ro2/tlMWamZh279080oGIwSV93UlxHjmrZDs6KoZB4qRZKEGnmsxvDXzO3MmbXL7e8uSQIDhyWwdUMGdruC3Saj04lIksgDT46kU7dW9Z+7rHDvjb9TUeY52/QIIaE+vPLBBfj4Nu3nrWT3QSoP5BDcJZ6AhEi3/Wk/L2H1rW+eMClL52fi8tzftaafJ6C2tH0thnYGo6qqR2MGzgytku2pHvdlLdzEtme/Q7bYsJdXe9diFAUKN+7zen1FUdm1LZvZv+1kxeIUzGbXWrF5f+2h3IMxEwSBcVM68vxbEzVj5oWgYB9uvmfw4To8CVESMBglevSJZtjohrsCvSGKArHxIUS3Dm4SV9eIce08xjZ1OomMgyVUV9trjLXDoWC1Ovj4rZX17uMGIEoit90/FJ2+9sfZ06+f36TGzFJYxpxBd/PPgDtZfvUr/NnlRv6b9jSO49ojJVw+ksQrRiH5GBCNeiRfI4gCglEHgoDka0TyNTLyt2c0Y9ZINJfjGYwgCBhCArCVeFA5lxWvQeVdb/zqVXPOZQxF9SpWbDbbeeWJheRmO6WeDEYdP365kYefGVPjdtu09pDHOJAggMmox2hq+qacZxMDz4unU7cINq45hMVsp0uPSBLanhnK7MGhvjzy/Fg+fnMlZSVmEJy6kNffPpB3X1nmUdzXYnaQmV5CbEL93X7dekXx4tuTee6ReTWtbY4gCNClZxShLRrm0vTG0kueo2hLMordgYxzdZi1YCMbHvyIwR/df8z1BYZ89hBdHphO1oJN6PxMxE4bQvHWFLIWbMKvdThtrh6j9URrAjSDdobT+f6L2fnqzzUxNHCq3PsnRBLa0/ObfFVGfp3GNgT50aK3e7wJ4LfvtpCVUVpjsI4U5r790lLe+2Y6kiS6pEYfiyQJ6I3Nr+F3NhAU7MOYiR1O9TQaRJv2Ybz+yYXk51agKhARFXDY2HjxCHDiTt61ERkTxJOvjOflJxY6V30WByYfHQGBJm69z13tozFUpudRsH4vit012UO22Ej5ZgED3rnLrYt6cKc4gjvFoSoKW5//jt1v/Q6KgqpC5YFc+r1+myZ51Ui0395Jpqbbs81O9Li++DayF1KPx6+kKj2X1B//QzIZUO0yAW0iGTv3Fa+uo4hh3SlPza7RoTseydeIKEmMmvWc17TlVUvTPK6+HA6FpN15dO4eyYjx7Zj5zWYPyvMC/euov6hxZiMIAhGRR4uDff0MxCaGciDZvcbNYNLVqaawNmLiQnj7y4vZuCadgrxKWseH0KtfTJ1LO+pKdXYholHvbAdzHKqqYq+oRvKy4tr2wvfsfuM3Fy9J0hf/4rBYGfLJg006z3MNzaCdRFy6Pasqil2mx+NX0fOpaxo8pihJDP3iYXo/fwPF21PxjQojtEftrU66/9/lHJi5FHtF9dFxDDpMLYOJv2QEgW2iSLxyNMZasrO8iQWD03UEzjjKto2ZJO3Jr1FZF0WBq27qS6iHViMa5wY33z2IFx9bgMMuY7crSJKApBO5/YGhHmvi6ovRqGNoPdr9NITgznFeO00bgvwwhngWXpZtdna9+Zuby1+utpL63SL6zri11u+dRu1oBq2ZKEvOJOW7hdjLqoie0J/gjrGHuz27vtHtfG0m4QM7ET3WY9KOC5UZ+eSv3oUxNJDIUb0QdUfddr5RYfhG1a0QMyAxikmr32P9Ax+Su3wHokFH4hWj6ff6bW5fJqvVQU5mGQGBJpe06vadW7JvV57b2LJDoX0nZ2alJIk8+NQoknbns2NLFiYfPYOGxZ9UlXWN04+YuBBmfDiVJfOTSEsuIiomiNHndyAi8sz5XBiC/Ol494UkfTTbxThJvkb6vHKzV8+GpaAUVfFc/C0adFQeyMHYy7ObX+PEaGn7zcC+z+aw4YEPUewyqkNG5++DMTSAqqxCN2V6gJhJAxn7z0tex1NVlbV3vUvK1/MRDDoEBESTnnFzZxDWp2nTt4+95pxZu5j9205EUUR2yCS0C+PuR4YRFOzDoQPFvPjYAuw2uSYzzWCUmHxRV6Ze5r1gWEPjdKK8zMLs33aycU06kiQydFQiky7qWqMmUxuqorD77d/Z+dovWApK8Y+LoPeLN9LmqjFez3FYbPwcdqFLq5ojSCYDlx6aiSlMSw6pDa19zEmkOruQ39te49G37o3QPu2YuvETr/uTPpvDhgc/dnNTGEICuDz7VyRj06e+r/wvhe8+2+DWyDEqJogX35mMIAjkZJXxzcfrSd6bjyyrmHx0TJzWhSkXd/Woe6ihcSopyKtkw+p0bDYH3XtHEREVyJP3zaG8zFIj0KzXi0THBvP0a+fXKe5WUW5BFAV8ffV1lsna8L+P2ffJPy6JXJKPgbhp5zH8h8drObPuyFYbh2avpSI1m+AuccScP8DFo3Mmo7WPOYkc/GOVV+F4bwQmRtW6f9db7j53ANUhk/HveuIvOq9+F6wDf/+60y2ZQ5FVCvIqSUsupE37cHKzyknbX4h8WC7KYnYwZ9YuCvIqufmeps0q09BoDIvnJjHz682oqoosK8z7czdhEQFUVlhdug3Y7Qo5WeVs3ZBJ30GxXsdL3V/Ilx+sIe9wM9i4NqHceu+QE/aGy80qp2r0KMRiFfnXueh0AqU+wdiGDsB/wiBysspq7UNXF8pTsph73n3Yqy3IZhs6HwOm8GAmrnoP31Znt9qxZtCaGMVmR5Xrt+o9UU2YtchdZR6creIteSX1ulZdKSmu9rhdAPJzKmnTPpyfv97spo5vs8qsW3GAi6/qSUgztwvR0KgL+bkVzPxms0s/PKtVJjuj1GOZgNXiYOfWLK8GrSCvglefXuTaQ25/IS88Oo/XP5nmUSxAUVS+eG81G9YcQhBAFENg8lXERvlxMLMSm01m1597mTs7iQsv787ki9x1VGWbnUN/raZw834cVRbC+ran9eRBbi7KJZc859JjzV5hxmG2seqG1xg3b0ZdfmVnLJpBa2JiJg5gy1Nf1escUVf7nyF8QCcy521wL9IRBMIHNb5flSciWgWQlVHmtl1RVaJjg1AUlTyv3Z0lDqWVaAZN47Rg/aqDbqLT4L3mTZIE/APcBYyPsOCffTiOU85XVbDZZFYtTWPcZHcdxiXz97Nx7SG37OD9aUe/Y4qsosgyf83cQa9+MUQf0+2gOruQOYPvwZJf6hLOEA06ej9/A90euRxwNist35/ppv6jOmRylm7DVl6FIfDszTDWAh1NTHDHWNrdOBGdn/cvxLHo/Ey0uWo0ABUHclh5/avMjL6EPzpfz94P/0KRZfq8dJObYofkY6DVsO608FI83VimX90Lw3HFzzqdSEKbFsQmhCKKAj6+npU+FFkhOFST8NE4PbCY7cgekrG8IUoi5432nvZ/IKWoxs1+LDarTLqXvnqL5uzzUI/pGdmhsHbZAZdtq256neqsQrfYvGJzsOW5b8lZ6mxQaiuv9h4rE/CYjHI2oRm0ZmDge3cz/McniBrXl+Au8QhePmCSr5GIYd2JnTaUigM5zO5zO6k/LsacU0zZvgw2/d9nLL/qZUJ7tOH85W/TakQPJJMBU3gQXR+6lNF/vdCg+SmKys6t2Xz14Vq+/XQ9KfsK3I7pPaA1198+gMAgE3q9hE4v0ndQLA88NarmmDETO7ipgYiiQFiEP7EJIWRllPLejGXcfe2vPHrX3yxdsL9BWn0aGo2he+/oWrMWJZ2I3iBhNEro9RLX3NKPVlHeY2HRrT33kDMYJKJiPJ9XVcf2NuD8flqPaTdjrzKTs2QbqhejrJht7H5nFuCsj8NLLZ9vq1B8IhpXuH660yQuR0EQJgDvAhLwhaqqM47bfz3wOpB1eNMHqqp+0RTXPh0RBIHYCwYTe4EzMeLAr8tYfeubqIeLqVFVwvp2oMt9FxE7bSiiJLH12W+xV1S7fGgd1VYy/llL8c40wvq05/wlbzV6boqs8N6ry9mzIxerxYEgwKolqYwY246rbnbtsTVkZBsGDU+kvMyCj6/e7aFw4eU9KMyvYtPadHR6CUVRaRHux/+eHk1meikvPDofm9WBqkJFuZWfvtrEwdRibrhzYKPvQ0OjrrTv3JL4dqEk7fIs+RbVOoiRY9sh6UV6929NYFDt3pXxF3Ri7YoDbisu58rOs8ekY9cINq1Jr5O0l9Gko3f/1jU/K1b7CRPNKtOdNaGSQc+Ad+5i7V3vHs2iFAQkHwODPrrvrO+x1miDJgiCBHwIjAUygY2CIMxWVXXPcYf+oqrq3Y293plIwqUjiL1wCIUb9iHqdbTo2x5Rcl3ZZC/a7PENTFUUcpZsJbRbYpPMZePaQzXGDA77/q0yyxYlM3BYvFvDTFEUCA7x7D7U6URuf3AoRQW9SD9QTEioL/FtQhEEga8+XHe4v9bR421WmdVL05h8cRetuFrjpCEIAkOHJ5K6r9Bj09H87ApG10MvM7p1MHc/Mpwv3luD1epAVVUCg0zc9fAwr8bw4it7sHNLFlaLo8aoGQwSgiigKGpNbM1olOjYJYKOXSNqzjWGBhKQEElZUobXOVWm5yFbbUhGA+2uG49fTDjbX/qRitQsQrom0P2Jq5DNNlJ/XExYvw4EtW/tdawzmaZYofUHUlRVTQMQBGEmMBU43qCd00gGPRFDu3ndrw/yw5zr7n8X9TqvMjoNYcXiFJfsrCPYbTJrlx+oVwfoI7QI93Nrzrh/b75HDVpREkjak68ZNI2TSliEPzqd6NGgBXl5YauNHn2ieffr6WQdKkXSiURGB9a6+omMDuKZ1yby+w9b2bsrDx9fPWMmdmDY2LYsX5jMupUH0RskRo5rz+ARCW5jDf70QRZOfNSldu1YVIfMwVkraXOlMx4fNbo3UaOdXcHLkjKYP/Z/2MuqUFXnsTGTBjDipye9iiEXb08l6fN/sRSUEnN+fxIuH9Xgvognk6YwaNHAsa8OmcAAD8ddLAjCMGA/8ICqqm6vG4Ig3ArcChAb670G5Gyk011T2fTo5+4fWEUl9sIhTXINq9VBtofMRXCu1Bz1CJyfCJOP3qPhFAQBP60HmsZJpmPXVvgHGA+vqI5uNxh1TL64S53HUWSFvNwKjCY9oS186yWmHNU6iHsfG+G2fdJFXZnkIU3/WFoN686UdR/y73n3Yi9zL6lxVFko3LivxqAdQVUUFox/hOqsIpe0zsy5G9j24g/0fu56t7H2fPAnm/7vc2SrHRSFzLnr2fnqTCav+wBD0OmtM3mykkL+AeJVVe0OLAK+9XSQqqqfqaraV1XVvuHh9V8pnMl0vOMCWk8c4FS6N+rR+fug8zUxatazTZJmq6oqrz29iLJSs8f9RpOOAUPiG32dI4ya0B69h/YxoijQrVftheQaGk2NKAo8+uJYImOCMBp1+Pjq0eslxk3uwLAxdcsUXr/qIPdc/zvPPDSXh2//k+cenktBXmUzz/woIV0TiBzZy9ng7TgkHyP+8e7dvvPX7Hb2SzwueCebrez76G+34815xWx65DNksxUOa046qixUHMxl+0s/NtGdNB9NsULLAo51yMZwNPkDAFVVj+0V8QXwWhNc96xClCRG/voMRdtSyF22HUOwH3HThjbZG9G+XXlkpJd6TDcWRYHuvaJc/PaNZfJFXUhNKmDf7jxURUXSiQiCwENPj0KnPzskeDTOLMIjAnj5vSlkppdSUW4hLjEUP3/PDWyPZ9/uPL54b42LkMCB1GJeemw+b3x2ETrdyVkbdH3oUrIXbnJLvxckkTZXu2tImvNLPRpAAFtZldu2jDnrEDxIfilWO2k//Ue/125r2MRPEk1h0DYC7QRBSMBpyC4Hrjz2AEEQIlVVzTn84wXA3ia47llJi55tm6W2LHV/odeWL37+Bu58eFiTZkDp9BIPPT2a9LRi9u/JJzDYRK9+MRjqIPqqodFcCILQoJ5rf/+6w00VR1VUzGY72zbWLpPVlEQM6Ur/d+9mw/0fOg2P6qxJHTXrOY8dr8P7d0Sxubv+AUJ7utfaqYqKN33f01T214VGP11UVXUIgnA3sABn2v5XqqruFgTheWCTqqqzgXsFQbgAcADFwPWNva5G/QgMMqE3SB7jWr7+Bt57ZRkWi50BQ+MZMiKxyQxPXGIocYlnt36cxtlPbpZn+TmL2cEfP28jMibQRdmjOelw00TaXDGK/HV7kUwGwgd0dMuaPoJfTDiJV40m7eclx4khG+n/xh1ux7eeNID1933gtl006Ei4bEST3UNzoant15Pq3GJ2vPwj6X+tRudrpP0tk+h8zzS3duunG+ZqG/ffNKum+eaxCMLRty+jUaJlZCBPvTqhTi00NDTOBd54bjE7t+Z43CcIzuSSJ18ZT2zC6ffypioKu9/9g91v/Ya1uILQnm3o9+qtXrOud742k63Pf+fs3aiq6HyNmCJCuWDjRxhDaxdfPhlo7WOaCEtBKX91vxlrcQWK3WkYJB8jLQd1Zvyi10/7osX9e/N5+8WlyLLicaV2BJ1OpEVLP/R6ia49IplwYWdNl1HjnCZ5Xz6vPbO4Vvmqrj0jefhZ773Qjqei3MLcP/ewae0hDAaJEePbMXJ8+yaLx6mqSv6a3VgKSgnr1wG/6Lon2uWv20PSJ/9gzi+h9eSBtL12PHr/00POTjNoTcSmxz5n9zuz3Fqv6/xNjP7rRaJG9TpFM6s7dpuDB275g4qyumm6SToRk0nHc29O1GrHNM5pNq07xBfvr8FcZfe432CQ+PzXKz3uO57KCitP3j+HijJLTW2cwSjRoXNLHnp6dKNfjsuSMlg44f+wFJcjCAKK1U7b68cz6MP76ty37XSlNoN2Zt/ZSSZjzjo3YwbgqLSQ/d/mRo198Pfl/N37Nn4Kn8b8Mf8jb83uRo3njcxDZVRW1F2gVHYoVFfb+fW7rc0yHw2NM4W+A2O5/YGhGE2eXfHetnti4Zy9VJRbXAq9bVaZ/XsL2Lcrr1HzVGSZ+WP/R+WhfBwVZuzl1chWOynfL2LPe380auzTHc2g1QNDsOcUetGoxxjScN/yjtdmsvL61yjeloK1qJycJVtZMPZhshY2/Qo1L6ccoZ4dSFVFZceW7Cafi4bGmUbXHpEeXYJ6g8SI8e3rPM6WdRk47O5CBs5ebI37ruUu2+5MyT++9qzayu63f2/U2Kc7mkGrB53uvtBjWxhBEEi8fGSDxrRXVLPtue/cmnzKZivr7nmvQWPWRlTrYI9K4SdCr9c+KhoaznKUUfj46jGZdOj0IkajRLuO4Uy91Lu03fF4a72k04le99UVc06RR9k5AEuh52zNswUtja0eJFw6gpwlW0n9YTGqojjrQBSVIV88hF9Mw5RNiralIBp0zsr846g4kIu90tykwdjY+BAS27UgeV+BW11JUIgPVZVWtzdHnV5k6Cjv/aE0NM4l2rQP592vp7NlfQYVZRbadAinTfuweo0xemIH0tNKnALex+EfYCQvp4KIyIbFrFv07YDq8Jy84qn27GxCM2j1QBAEhnz6IF3uv5is+RvR+ZmImzYUU3hwg8c0hgR4/fAJoohkbPpygAefHs3XH65l09pDqOphpZDeUUy9rDulJWY+fG0FqqpityuYTDoiogK58LLuTT4PDY0zFaNRx6BhCQ0+f8DQeHZuzWbDqnRkWUEQhZoXyV++3YLDrtCtVxR3Pnwe+noq6wR3jCV6Qj+yFmxyeVGWfIz0nXFLg+d8JqBlOZ5iVFXlz843ULY/08XnLRr1xE8fxvDvH2+2a5eVVvPBays5kFyIpJNQFYXImCBuuW8IO7ZkUV5ioUOXlvToE43oQQ5HQ0Oj/uzcms0v324hO6MUH18Die1akJVRSkmR2aUBrt4gMXxsW665pX+9ryHb7Gx74Xv2fTQbe3kVIT3aMODNO2g1vEdT3sopQUvbPw2QrTYO/r6C/HV7CIhvRZtrxuLT0inBU5acybwRD+KoNCPbHYg6iaAOrZmw+PVmVbf+7J1VbFidjv0YF6MkCbTr1JLHXhzXbNfV0DhX2b45i/dfXe4iQ6fTiSiKckQL2AWDUeKTny5H0l4oa6jNoGkux5OAOb+EOQPvxlJYhqPSjORjYOuz3zJ2zsu0Gt6DoHYxXHrwJzLnb6AyPZ/Q7olEnNet0bUoqqp6HcNmdbB+dbpbvEyWVVKTCikurCI0rPEq/xoaGkf58YuNbpqqnnq0HUF2KNisDnx8tZZLdUEzaCeB9fd9QFVmQU2sTDbbAFg87SlGzXqOFj3bYgwJIHbK4EZfS1VVFs3Zx5xZuygrtRDawpeLruzJeaNdg8HV1Xav6fs6veg8VzNoGhpNhqKo5OVU1OucwCATJp/TW1bvdEJbxzYzqqqS/ucqj4kf9tIq/rvgSX6JvoQNj3zqVeW6Pvz583Z++2ErZaXOMoDiomq++2w9i+cmuRzn/KJ4fp+RHQqR0ades01D42ziROUykuS632CQuOz6Ph69LGaznUMHiikvs7jtO5fRVmhNQP66PeyY8TNle9MJ6Z5I98euJKz34SJLVUXxksUIzuZ5AEkfzca/dUs63zOtwfOwWuzM+2uPW5sLm1Xmj5+2MXJ8uxpfvCgKXHpNL77/YqOLPp3BKDFxWhftrVBDoxmQJMFjT0JBgH5D4tizI5eKMgvhrQIYPDyBrRsyWbMsjb6DYhk0PBGdTuSXbzfz37z9SJKIwyHTs28Mt9w7uE7fWVVVyV+9i/LUbII7xxHWt0OtoQ3ZZqdg/V4ESSK8f0dE3dGMS0WWQVER9aePGTl9ZnKGcnDWClZcOwPZ4lSmLk/JJnPeBkbPeo7o8f0QRJFWw7qTu2x7reM4qi3sfPXnRhm03OyKw9mIHlaDNrnGBXmEYWPbYfTRM+vHbRTkVRIc4sOU6V0ZOaHuigcaGhp1p//QeNYuP+C2XZJErr11AH7+zljZzG82M/fP3TUvm0m781k4Zx89+0WzZP5+7DYZ++Hv+fZNmXz81ioeeKJ2cYfq3GIWjP0flen5hwuvVYI7xzNuwasYPaggHZy1glU3ve78QXW2kBnx85MEd01g3d3vkvHPWlRZJXxgJwZ9eB+hPU59jZuW5dgIFFlmZuR0rB6q7/1iW3LJgZ8QBIGS3Qf5d8g9yGZbjUq/JwSdxPW2hQ2eT2mJmf/d+odL1uIR9HqRD7+/FKNJW3lpaJwqSkvMPPvQv1RWWLHbFQTBGbO+5pb+DB/bDoDsjDKefuhft+QR3WG1Hk+SWXq9yGsfX1hr3Hvu8PvJX7vHJfwhGnS0njyQUb8/53Jsya4D/DPwLpceagCSrxFjSADmvBKXcfQBPkzd/gUB8a3q+JtoOFqWYzNRnpSBbPGsvG0pKKUqswD/1i0J6RLPhTu+YNebv5G9eDNlSZl4ytENbB9Tr+srisrGNeksX5SC3S4z8Lx42neOIGl3nkvmlE4vEtemBX/N3EF0bDD9h8RpnaM1NE4BwSE+vPLBBaz4L5Vd23IIbeHDqAkdXJrgbtmQgSK7Px88GbIj6PQSBXmVXg1aVVYBhRuT3GL5is1Bxpz12Cuq0Qcc9d7see8Pj0LsitWBpaDUbRyHxc6uN39l0Pv3ep3jyUB7qjUCnZ+PV5UPVXY2xjuCf2wEA9+9G4BFU54g578tTjflYSRfI31fvrnO11ZVlY/eWMGOLdk1vc0OphbRMsKf+LYtOJRWjKQTsdtlVEXl0IFiUvYVYDTp+OXbLTz16gRatqqftE55mYXF/+5jx5ZsgoJNjJ3cka49o+o1hobGuY6Pr4HxUzoxfkonj/sFQXAG1TwIMgoiqB7smt0uExHlPZHLWliOqNe5PHNqxpREbGVVLgatPCUL1YNRVWUZ1cMjT7U7yG+mDiH1QctybAT+cREEdmh9+MN3FEESCe/fAVOLII/njfztGdrdeD6SjxFBJ+EX25Lzvv4/Yi+oe9p+0u58F2MGzuSP/LxKBg9P4Lk3J3H7A0MJC/dDUdQaX7zV4qCi3MInb62q170WF1bx+D2zmfvnbg6kFLFtUxbvvrKMv3/ZUa9xNDQ0aqfPwNYeMyL1BokevaPdvCsGg0TfgbEEh3jXfA3s0NprFrXe3wefSNdO2y2HdEP0ILsn6CUET1JcgkBAQqTX658sNIPWSEb+8hTGsEB0hwWEdf4++ESEMKwWySqdycCgD+7l6rJ/uKr4by458BMJlwyv13U3rz/kUdjUZpVZs+wAYRH+tIwKoKig2k2EWFUhPa1+Kb+//7CNqkqbS3zOZpWZ/ftOSour6zV3DQ0N77SKCmTyRV0wGI8aDr1BIrp1EHf+7zymXtoNHx89BqOE3iAxZGQiN99b+8uwzmSg13PXofN17RYi+Rrp98ZtiJLzWg6LjbSZS1Bsdue2Y17WBUnEEORXc6zLOD4Guj50SWNuu0nQXI6NJKh9ay49+DMHf19BeXImwZ3iiLtoKJLxxJX9ok5CbKCSviSJeHZKQPqBYm67/Oda69oEUXALOtfG1o2ZLjpzx85j17YcTY1fQ6MJufDyHs4M5B+2IssqqqJSUW4l81AZky/uyoSpnSkrMeMfaMRYx3h41wcuwTeyBdue/56qQ/kEtI2i9ws31Ag6lCVnMve8+3CYrTiqLEgmA6JB5wyrCAJRY3oTNa4vmx/7wm3sdjdMoOWgLk36O2gImkFrAnQ+RtpeM/akXnPQsAT+m5vkVnMG1MlQBQaZCA3zPeFxR/DU1BBA4Gj2lYaGRtOQmV7CHz9tq/GIKIpKUUEVrz2ziDc+nUZAoIkW4Z4TQPbsyGHpwmTMVXb6DGzNkBGJNW7KxMtHkXj5KI/nLb3kOSwFZTUi6XK1FUESiRjWnfHzXwVB4OeIiz0mi6T/sYqB796NIJ7aZ4H2JKoFVVHY98k//NHlBmZGXcLya16mPPX06NwclxjKuCmdMBil40N4tSKIAgajxI13DayXVuSQEQkeDZeiqPToE133CWhoaJyQ+bP3esxqlGWVlf+lej1v5jebeeelZWxYlc7Ordn8/NUmnv3fXCxmz9nYR6g4kEN5cqZbl2tVVshfvQtHtYWypAyvZUe20gqqsgprflbsDg78uowV177Cuvs/pHiH9zk3JdoKrRaWXv4CGbPXoticH4a0H/8j7af/aHPNOAa8c5fHYsSmRlVVkvcVsHbFAWSHwoCh8XTu3gpBELjkml70GxzLVx+sJf1ASa3j+PkbCA7xoXV8CJMu7kpsfEi95jH18h7s2p5Dfm4lVosDnU5EFAVuuW+wJpyqodHEZGeWeXTx220yOVmeu05nZ5SxeG6Si4fGapXJz61g4Zx9XHCJ947a9opqRJ3kQZLB+RLsqLaiD/StNatb7+eMzzmqLcwddj9l+zNxVJoRJJH9n/9L7xdvoOsDzRtn0wyaB1RVZfUtb5L++woPOyH1h0UUrN3N1G2fo/Mxuh/ThPP47tMNrF6ais0mo6qwbuVBuveK4s6HhyGKAvFtWtA6IaRWgyaIAj37xXDrfUMaPBcfHz3PvTmJrRsy2b0jh6BgH4aOTCSsZfMbdQ2Nc43Eti04mFLkJpNlMErEtwn1eM7WjZ7r1+x2hTXL02o1aMGd4xF0ns2BT0QoPq1CEQSBkG4JFG1ORj2mjlaQRCKGdsUY6iwb2P3OLEr3pNeUCKiygmy2suWJr4ifPhz/1i1rv/lGoLkcPZD6w2JSvq9FsUNRqc4u4sDMpc06j/178lm9NA2rVa7xBFgtDnZszWbL+oya43r2jcFo8v5uoteLTLjAc81LfZAkkb6DYrnutgFceFl3zZhpaDQBsqxQUW5BPsYYDR3VBuG41H1BAINeIjI60GNm8dH6NXfEE4QXRJ3EwPfvRjqmdhZBQPI1Mujj+2vCEyN+eRqfyFD0AT4IOgl9gA9+sREM+/6xmtOSv1ngsd4N4NBfq2udR2PRVmjHocgy6+55H9Vee2KFo8pC5vwNtLthQrPNZc3yA1ht7j5rq8XByv9S6DsoFodDQRQFAgKNOBwK8jEKIYIAJh89N949iNgEz291GhoapwZFUfnnt53M+2sPdoeMTicx/oKOKLLK/L/3IokisqCgqs6C6sBAE1WVNt6bsRyHXaZbr2hue2BIjShxn4Gt+ePn7R7dhlVVNooKqrwmkgC0uXIMfjEt2f7yj5TvzyCkWyI9nrya8H4da44JiG/FJWk/kjFnHeXJmQR1iiVm4gCXVH5V9uKWVFWvLsumQjNox5H6/SLs5VUnPE6QRHwi6heHqi+yQ/Gclw84ZIWsjFJmPLkIm83hdE2oziLLoFATnbtH0n9wHB27RKDzVAipoaFxSvnjp20s+GdvjeiBw64wZ9YuUHFzNeokEXO1HYdDqZG127k1i0/fXs19j48AICIykCnTuzL7151uTUPLSsy88uRCXvv4wlrb2LQa1p1Ww7rXOm9RryNu2lCv+xMuG8nut393y4YUBIHWUwbVOnZj0VyOx5H02Zw6HSca9LS/ZVKzzqX/0DiPrkSjUcegYQm8+fwSysstWMwO7DYZWXa+zfXsE8ONdw6ia88ozZhpaJyG2KwOF2N2BNmhemwvY7crbiU6drvCzq1ZlJaYa7ZNvbQ7waHuta2qChVlFvbuzG2iO/BOt0cux691Sxf3pc7PROf7LiawbfNmRGsG7TiO9CfzhuRnRDIZ6P/2nYR2S2zWuXTtGUXn7q1cjJrRqCMuMZTwCH+qKqxuKzi7XWbF4pOTIquhodEwiouq61U24w2dXqK40NWjVFlh9XisoqoU5lc2+prHUpVZQN6qnZjzimu2GYP9mbrlU/rOuIXI0b2Inz6M0X+/SN9X6q5V21A0l+NxxF10HuXJWe5BTZ1I1wcuIbhzHK0nD/Sq09iUiKLAvf83nI1rD7Hyv1RkWWHIiEQGnhfP7u25bkHjI1htDhRFPWGHXA0NjVNDUIiPx4zE+uKwK24i41ExQaQlF7kdKyAQE9c0YRJ7pZnlV75I9uItiEY9ssVG/PRhDP3yYSSDHr2/D53vnkbnuxve37EhaAbtODrfdzEp3yygOre4xges8zMRPa4vfWfc0iRvVfVBlEQGDI1nwND4mm2qqqKiuggTH0tcQohmzDQ0TmN8fPQMHJbAupUHXerGdDoRRVFdatD0epHAYB8qyi2u3eUNEkNGJOIf4Fo6NP3qXrzz0lIXF6VOJxITF0xiuxZNMv+V180ga/FmFIu95uU//Y9VGIL8GPTBfU1yjYagNfj0gLW0kj3v/cHB35ej8zPR8bYptLlmrEdRzqYgO6OMv37dQcq+AkJCfZk4rTN9BsZ6PNZul3nrhSWkJhV6FCc2GCUeeno0HbtENMtcNTQ0mgabTebL99ewad0h9HoJu12mz4BYRoxvxy/fbOFgWhFGg46hoxK59NpeLF2QzOzfdmGzOZBEkdET2zP96l5IknvkaPO6Q/z4xSZKS80IAvQbFMd1t/dvEhEEc34Jv8Zd4VECS/IxcGXhX81an1tbg0/NoJ1iDqYW8fITC52F04ffygxGickXd2Xqpe7ZRn//uoN/ft/lUa+xY9eWXHptH9q0D2v2eWtoaDQN5aVmCvIrCW/pT2Dw0YQOVVXdPEKKrFBZacPXz+BVX/XY86sqbRhNOvRNmBxWtDWZeSMfxF7uXgsn+Ri5eP+3+EWHN9n1jkfrWN1EFG7ez6bHPqdw/T4MIf50vu9iOt87rVErtx+/2OjmOrRZZf75bRejz+/g5k5YtjDZozEz+egYOb69Zsw0NE4D8nIqWDB7DwdSi4iOCWbC1E5e41eBwT4uhuwInsIboiQSGGRy2348VoudDasPkZ9bQUxcMH0GtG6yjOeANlEoHupjAUSDDp+WzVvOVBuaQasjhZuSmDfiARzVzgwie0U1W576iuLtKQz75tEGj5ucVOhxu04vkrw3n179W7ts9xY3UxQVi9nzPg0NjZNHSlIBrz2zGIddRpZVDqYUs371Qe56eBg9+8Y0+/UzD5Xy8uMLcDgUrBYHJpOOmd9s5qlXzye0Re0dNhxmK9aickwtg5EM7g0+AQyBfnS4bTJJn/+LXH00o1Lna6L7Y1ci6k+dWdHS9uvIxv/7rMaYHUGutnLw1+VUpDVcgd/g5a1JVdUaBYBj6dozymN2o6pAp26tGjwPDQ2NpuGrD9ZitThq6smOdIz/8v21TZLZWBuqqvL+q8upqrTVvPxaLA5Ki818+f4ar+fJNjvr7n2fn8KmMavjdfwcfhHbXvzBa0/Ffm/cTteHLkUf4INo0GEICaDXC9fT7eHLmuW+6oq2QqsjBev3etwu6CTy1+wmIDGqQeMOGp7AqiWpbpX9eoNEh87uIp4XX9WTnVuzsJgdNZlQRqOOISMTiIgMcDteQ0Pj5FFeZiEvp8LjPqvVQWZGWb07XdSH3Oxyt7o0cBrVvTvzMJvt+Hh4UV57xzuk/bIU2ex8aZeBnTN+RtCJ9Hj0SrfjRUmi93PX0/Ppa7CXV2MI8jvlvdCgiVZogiBMEAQhSRCEFEEQ3PxvgiAYBUH45fD+9YIgxDfFdU8mhiDPGmiCIGAMa3hN2uU39CE6NhijSYcogtGkw8dXzwNPjEL0kL0UERnAC29P5rzRbQhr6Ud821Cuu2MA1942oMFz0NDQaBokyXu5jKqqJ0zkaCxWi8NryY4ggMODRq2lqIzUn/5zcR+Csw3MzldnotSivyhKEsaQgNPCmEETrNAEQZCAD4GxQCawURCE2aqq7jnmsJuAElVV2wqCcDnwKnBq16b1pNNdF7L95R/d/uiSyUDUmD4NHtfHR8+zb0xk785c0pILCQn1pe+gWI/uxiOEtfTnxruaVxNNQ0Oj/vj5G0lo24KUpILje2USFOxDZHRgg8ZVVZUDKUWYq+0ktg/zuMoCiInzXIMaUFJAp+Qt/NnqB/RBfnS660K6P3oFok6iIjUHyWjwmIavWO1Yi8tPaaJHfWgKl2N/IEVV1TQAQRBmAlOBYw3aVODZw//+HfhAEARBPV1rBnDWWmT+ux7ZakexO6g8mEtAYiTlKVmIkoQgiohGPeMWvIqoa1z2kCgKdOkRSZcekU00ew0NjVPFLfcN5vlH5mOzObBZZfQGCUkSuevhYQ0SZjh0sIS3X1xCVaUNURSQHQrTruzBxAu7uB2r04lcc2t/vv5wXU1hdWBZIT3WzEeSZWRAttjY8cpPlOxIZeSvz+Af1xLZ6rndi6BzrsDOFJrCoEUDGcf8nAkc7/+qOUZVVYcgCGVAC8AlxU8QhFuBWwFiYz0XFp8M9n70Nxv/9wmIgtOnfNjsikY9gijQ8Y4LaDW8B9Hj+p7SjB4NDY3Tj4jIQN749ELWLD9AeloxkdGBnDeqLf6B9S82tlkdzHhyIVWVrgbnz5+3ExkV6JYFDTB4uLPx7r+zdpGbXUG73cuQjmvpIputZPy7jrKkDII6tKb1lEFkzlnnIvkn+RrpdNeFZ9Qz7rSaqaqqnwGfgbOw+lTMoWhbChsf/tRjg7ojS/L9X86lz0s3nVF/aA0NjZOHj6+B0ed3aPQ4m9dluPQ4PILNKjPnj90eDRpA+04taf/kKAC+D/wMTwU9giiSv24PQR1aM+yb/2PVTa9z6O/ViAY9is1B+5sm0vvFGxp9DyeTpngiZwHH/lZjDm/zdEymIAg6IAhwV888Ddj/+RwUm7sv+VhUWSFv9S4iR/Rs8usfOljCT19uJGl3Pjq9yKBhCVx+fR98/Vwla6xWB0vmJrF6+QFEUWDY6DaMGNdOaxejoXEWUVxU5dY2pmafh2xGTxhDAnBUuncREcSjPR11viZG/PwUlsIyqjILCEhohSHIc0d6RZY5+Ntykr+ej2y1k3jFKNpeNx6dqfGyWo2lKQzaRqCdIAgJOA3X5cDxeZ6zgeuAtcB0YMnpGj8z55Wi1qFWxFulfGPIy6ngpcfm1xRI26wyq5emkbQ7n4HnxWGxyHTvHUXbjuG88H/zyMuuqPmw/5JVxvpV6Tz64liP2m4aGhpnHnGJoRgMEpbjBBUEARLa1k1ouPP909ny1FfuCW0+7gltprAgTLVkbauqyrJLnydr4aaaVltFm/az/4u5TFz5rlejVrrvEJb8UkK6J2IM9mwom4JGG7TDMbG7gQWABHylqupuQRCeBzapqjob+BL4XhCEFKAYp9E75cg2Owd/W87BWSvQB/jS/qaJxJzfn6wFG2vti6Y6ZCKGdm3y+cz5fadbwz+HQyE3u5y/ftkJwMI5ewlv6U9xURV221HDa7PKpB8oZuvGTPp6ETbW0NA4s+jcPZLwVv5kZ5a7uB51epGpl9XeWbpmjHunUbIjlQO/LEPQSwgI6PxMDUpoy1mylaxFm1yej45qC2V7D5H63UI63DrZ5fiqzAIWT32SsqQMRL0OxWqnywPT6f3ijc3SueSsFSd2VFvInLseW2klrUb0dOuU6jBbmTv8Acr2pjv/OIKAzsdI+1smkjl3PZXpeR5XYZKvkYHv3UP7G89v8Ny88cidf5GX7bkos64MHp7AbQ+4t0d3OBRKiqrxDzR6TfnV0NA4PbDZZERRQKcTqaq08eMXG1m38kCN+ogkCYS19OeGOwfWWSGo4kAOBev2YgoPotXIng3SoF1717vs+3i2x30Rw7ozcdnbNT+rqsofna6nIjXbxeul8zXS/6073YxfXTnnxIlzl29n8QVPoqKCoqLKColXjmbIZw/WFADu++QfSncfrKmMR1VxVFtI+uxfxi96nfRZK0j7eQmKQ8avtVM5OrBdNF3un07LgZ2bZd6hLfwaZdAEAbf6NVVVmT97L3/P3IGsKCiKSv8hcVx/x0CMxrPyz6+hccZyIKWIbz9ZT3paMYIA3ftEc/0dA7nx7kHs251HSVE1iqIiyyp5ORW89eISnpoxgdiE0BOOHZAQSUBC40qDRKMeRAEU94WQZHQ+e6zF5djKq6lMz6M6u8gthOOotrJjxs8NNmi1cdY90ewV1Sya8gSOSrPL9gMzlxI+oBMdbpkEQOr3C48as2NQbHZylmyh/5t30P/NO07KnI9w/oWdSd1f4OZ2rCt6g8R5o9u4bFu6IJk/ftrmMubG1YeorrTxwOEsKA0NjVNPXk45rzy50EWAfPvmLJ5/ZB6XXtOLqkqrS+NPALtNZvbvu7j74WEnZY6JV4wi6bM5bvE4nZ+J+IvPY8G4R8hdsQNRJyLoJFQvKiPm3OJmmd9Zlz2Q/tdqj9sd1Rb2vPfHSZ5N/ejRJ5qpl3VHb5Dw8dGj19f+59HrRUTRWZhtMEicP7Uzie1c28f89csONwNpt8vs3pFLQV7j3JsaGhpNx9w/d7u1hlJklYpyC6uWpHrspqGqzp6KJ4vwfh3pdNeFSL5G50oNpzGLGteHnW/+Rs6ybSg2O45qK/byao/lTwBBHTyXGzSWs26FZi0s85qBaC0ur/l3m2vGUZb0ldsqTTToiZt2XrPOsTYmX9SVkePakbQnH4NB4q0XltT4zY+l76DWXHBJdzavz0CSBPoNiiOqtWt2kiwrlJWY3c4Fp6JATlY54RFnjgqAhsbZTEpSodsKDJwJX7u253g9T/Ki3dhc9Hv1VhIuGU7qT/+hWO3EXTwMxeFg6SXPeV6RCQLH6oBJPkb6vHxTs8ztrDNoEcO6I+hEOO7FQJBEIkf2ApxuycQrRpH28xLXpBBfIx3vuICQLvEnf+LH4OdvpPfhgslHXxzLa08vxuFQUFVnMDg0zI8b7hiEf6CRuETvvnNJEgkINFJR7u5adTgUTZ1fQ+M0omWrADIPldYoEx1Lbbl7JcVmZFk5qeU6YX07ENb3aOH4nvf+qKXppx5BAMUh4xsdRv837yDm/OYRUz/rDFpYn/ZEjuxJzpJtR1dfooDO10Tba8fy79B7KdyYBEBw13i6P34VhRv3YQj0o92N59NqWN1SYU8W7TtF8O7X01m74iBFBVUktmtBr/6t66zaPWV6N37/cauL21GnF2nXMZyIyIYJpWpoaDQ951/YmV3bsusdQ1cUlcoKK0Eeul6fLALbxyAadB4FjkO6xTNh8RsIgoDO36dZ0vWPcFam7St2B7ve+JV9n8zGXmEmclRPuj1yBQsnPoqtpNLldUcf4Mu0PV/hFx3eVFNvFqxWB2tXHGD/7nzCI/wYNqYdLcI9t7Q5FlVV+XPmdub9tQdRFHA4FLr1iuK2+4fg43vqK/s1NM51zNU2tqzPpLrKRnW1jX//2I0iK9jtdWsGajBKfPzDZbWqBFXnFJH02RxKdh2kRe+2dLh5Eqbw4Ca6A6d6yKz211F1KM81q1EAQZIQRIGYiQMY8vlDmFo0vN0W1J62f1YaNE/sfPNXtj7zjVt2jmjQ0+XB6fR9+eYmu1ZTU1pczbMPz6O60obV6kCnExElgXv+bzjde0efeACcBrEgt4LAYB8Cg0zNPGMNDY26sHNrNu/PWA4Czm7WgkDPvtHEJ4by92/uQgvHYzBIjJrQnitu9Ph8B5zNieePfRjF7kCx2pF8DIgGPRNXvENot8Qmu5eqrAKWXf4iRZuTQBCQza5xH1GvI6hja6Zu+7xRq7TaDNpZl+XojaJNSW7GDJxp+t66UZ8u/PDFRspKzFitTh+1w6Fgs8p89MZKjw37PGE06oiJC9GMmYbGaUJ1lY33ZizDanVgtTiw2xXsNpntm7Mw+ugJDDK59TYTRQFJEvDx1aPXSwwZkcil1/X2eg1VVVl25Ys4Ks017kDZbMNeVsXK615t0vvxiw5n0sp3mZ76IyFd3Q2lYndQcSCX3GXbmvS6x3LWxdC8EdQxFtGod/PxCjqJ4E6nr1SUqqps2ZDpMfsJFZL25Gt91DQ0zkA2r8vwuFKxWWWWzNvPEy+P56M3V3IgpQhJEtHpRK66qR9de0VSXFhNy1b++PnX3pKmPDkTc16Jx32le9Ix55c0efNO38gWVB70nJWp2B2U7DxQk6DX1JwzBq3DLZPY9eZvbgZNMujofO9Fp2hWdUP1ZMzA6abwtk9DQ+O0prrKhuxFCL26ykZomB9PvjKB0uJqqqvtREQG1GQyHp8AoqoqudnlWC0OYuJCapLGVEX17t4TqD19shH4x7XCUlDmtl0y6AhIbL4X8HPGoPlGhTFu7issu+JFbGXOtgs6HwPnffsoQe2bp8ivKRAEgc7dW7F7e47bZ8/hkLFaHSz8Zy+RMUF06RHpsf26hobG6UfHrhEev6+iCF16Hn3oB4f6ElyLslXmoVLef3U5xYVViKKAKIpce1t/Bg1LIKhDawwhAR7F1gPbRuMTcWLJrIbQ46mrWX7FiziOCfMIoog+yI/oCf2b5ZpwDsXQACKGdmPIl//D1CIQR7UFa1kVB39bjr2iutFjl+47RNrMJeSt2U1TJ9pcc2t/fHwN6A4rhwgC6A0iJpOez99dzS/fbeGDV5fz6F1/U+qlkFpDQ+P0Ii4xlO69ozEYj2YniiIYTXqmXV638iGrxc7Ljy8gN7scm1XGYnZQXWXjqw/Wsn9vPoIgMPz7x9D5mWoaEosGPfoAH877+pFmuS+A2CmD6TPjFnT+PugDfZF8jAR3S2Di8nfqrfBfH86ZLEeAvNW7WDDuERd1ENGop0Wvdkxa/V6DMm8cFhtLLn6G3GXbEXUSqqriG92C8Qtfx791yyabe2mJmcX/7mPf7jxaRvhz6EAJWRllLi5HURJo2SoAvV7C4ZDpPySOCRd0xtfPQFFBFWuWH6C6ykqXHpF07q6t5jQ0TjaKorJ2xQH+m5uE2WynZ59ofHz1rFqahrnaTteekUy7ogctW9VN9GDFfyn88PlGF/3HI/TsG12j11qRls2Ghz4mZ+k2VFmhRd8O9JtxC+EDOjXp/R2Pw2KjZGcaxpAAt44nDUVL2z/MvJEPkrt8u9t2nZ+J8Yteb5CK/tp73if5y7kummWCJBLcNYELt37WqPl6o6S4modv+/OEdSp6vUhIC18mXdyFHz7fhKqoOBwKRpOO+DahPPzsGPRah2sNjZPG5++uZuOaQzUZyzq9iJ+fgRffmUxgAwqjf/9hK//8vsvjvlZRgbz60VQA9nzwJ5se/dwl01vyNTL6z+eJHus95f90REvbP0zxjlSP21VFpXib5321ocgyyV/NcxPgVGWFiuQsSvccbMg0T4i5yo5YB5kbu93ZA+3bjzdgt8k4DjcItFocHEguYsHs07tcQUPjbOLQwRI2rE6vMWYADrtCZaWNOX/sbtCYreNDMJncUyEEUSAu0Zm96Ki2sPmxL9zKluRqK+vufq/JQySnknPKoPlGh3ncLuqkmp5niiyz96O/+aPzDfwScxmrbn6dykN5Hs9TbA4Um7vUC4Cgl7ymyzaWlpEBdXYX2u2Kxw+szSazfFFyU09NQ0PDC7u2ZXsUGpcdChtWpzdozD4DWuPrb3B7Huj1IlOmdwOgeHsqgpcX4MqDuTVJcmcD55RB6/HYVej8jissFgT0AT5Ej+8HwLLLX2TjI59Stu8Q1dmFpHy7kL973erRqEkmA36xnuNkitVOaI82Hvc1Fme32hPLXp2I41tVaGhoNB9Ggw7RyxO3rMSM2ez55bg2dHqJp149n87dW9XUqrWKCuDBJ0fROt65QjME+3vtS4YgIpnOHgm8c8qgJVw+km6PXIZkMqAP9EXnZyKwXTQTlr6FqJMo2pZC5rz1LktzVVawV5jZ9sL3buMJgkD/N+9A8nEtbtT5muh411SMoc0j/rtvVx75uZV1OtZgkDy6JyVJoM/A07dcQUPjbKPv4FiPKzRwZi6vWZbWoHFDW/jy8LNj+PCHS3nnq4uZ8eFUOnVrVbM/qGMsfrERzoscg6jXEXvBIHSaQTszEQSBnk9dy+U5vzH6rxeYtPo9Ltr7DUHtYgDIWbLV45uM6pDJmr/R45hxFw5l1O/PENI9EdGgwzcmnD4zbqbfa7c1+fxVVSUlqYB/Zu30mNV0BJ1OrGn6OWh4AsPHtMF4jJ9dpxfxCzAy5ZLTq7OAhsbZTFCwD+Gt/D3uk2WVlH0FjRrfx0dPQKDJLVtbEARG//U8Pi2D0QX4IBp06Px9CGwfw+BPHmjUNU83zpnC6mMxBPkTOaKnh+1+iHqdx74++iDvLr6Y8wc0W3+fI5jNdt54djEZB0uxe3MfAAntWtB/SBwOu0KPPtHEJYaiqiqdu0eyeG4SlRVWevaLYfyUTpquo4bGSaZDp5bk51S4iSTo9CItm7E/YVD71lyS/jMZ/6ylMj2PkG4JRI3ujeDNB3qGck4aNG/EXXQe6+77wG27ztdEp7subNCYit1B1sJNmPNKCB/QqcHNQ3/4bAMH04px1JKqbzTqGD+5E4OGJ7hsFwSBfoPj6Dc4rkHX1tDQaBrGTunEupUHsR0Xv1ZkBUVWKC6sojC/iopyC5JOpFVUIK2imiZ0IRn0xF88rEnGOl3RDNoxGEMCGPnL0yy97HkEQUCxywg6kZjJA+hw66R6j1e8M40FYx9GNttQFQVVUYka24eRvz6NZNCf8PyCvAoqK2xERAawbtVBr8bMqRwi0at/DAPOi6/3PDU0NE4OsfEh3HL/EL76YC2KrNak8CsKzPljN7N/24UgCjX6rZJOpH2nltz32PAm719YvDONvBU7MLYIJPaCweh8nR4bRZZJ+2kJ+7/4F9lqJ/HykbS/ZRJ6v1PXQLSunFOF1XXFWlpJ+h8rsZdVETmqV4OyFRVZ5tfWl2POLXbZLvkY6frwZfR+9jqv5xYVVPH+q8vIPFSGJImoiorV5vDYml2nFxl4Xjyjz+9AYjvPZQkaGhqNQ1VVSoqqMZp0J1S4rwsOu8xzj8wj42DJCfWBJZ1Aj94x3Pf4iEZfF0BxyCy74gUy520ARUXQSwgIjPnnJQLaRbP88hco3Ly/JjlO8jES0CaSKes+rDF6p5LaCqu1FZoHjMH+tL/xfK/7VVXFXlGNzsdYo492PLnLd3gUBJXNVpI+/turQVMUlVeeXEhRQRWKomLnsGvCS9mZKAhcfUt/fHxOvOLT0NCoP1s3ZPDtJ+uprLShKirtO7fk1vuHEBLq2+Ax7Q6FrEOldRK7lx0qO7ZmUVFuISCw8QZl97uzyJy34Wg29+HH1PwxD4EgoB7XY1E2Wyndnc76Bz5kyKcPNfr6zcnZFRE8CaT/vZrfE6/ip7Bp/BA0hZU3voa90l0Q2FpYhsclFWAr9y6GvHdnLhXlFve2MB6GMhglpkzvqhkzDY1mImVfAR+9sZKSYnON2s6+XXm8+Oh8r61f6oIiq3h9S/WATidSVur+glxfVFVl95u/eWx2rDoUN2N2zIns/2IeB35d2ug5NCeaQasH2Ys3s/zKl6hMz0N1yMgWG2k/L2HR5Mfdjg0f1BnFy4cjrG8Hr9fIz63w2uPMaNLRvlM4vn56oloHceNdg7jgUi31XkOjufjrl+3uCRyKSmWFle2bsxo8rp+/gajWdU/2UBUIj/Cc8n8Ec14xu976jQ2PfEr636tRjsuGdpitzBvxgFsYpO6TUNnwv09Oa6kszeVYDzY//qWLUj84FUEKNyVRuGU/Yb3b12z3b92SNlePIe2n/1x6Akm+Rvq97r1GLSYu2Kvqf0xsME+8MqGRd6GhoVFXsg65N6kEZ1fp7IwyevdvuDjBjXcNYsZTi3DYZa8F1+BsFTVxWmeMRu+P68z5G1gy/VlQVGSLjaRP/iEgMZKJK97BEOgsOdr+4g8Ubkxq8HwBLPml2MqqMAbXblxPFdoKrR6U7vWstyYIAiU73Kv8B3/yAH1euQX/+FboA3yJHNWL85e+Vauqf9sO4URGB9Z0nD2CwShx8VU9GzX/YykqqCI7owylEW4TDY2znQgvKfMGo0REI+vGEtuF8eI7kxk5vh2J7VrQo2800bFBLoIe/gFGLrmmN1Mv8+6JcZitLLvseeRqa41QuqPSTFlSBlue/KrmuP3HdQVpCIIoovNtfFJMc6Gt0OqBb2QLylPc3QyCKOAfF+Fhu0jne6bR+Z5pdb6GIAg88txYvv54HVvXZ4AAAYEmrr65L116NL51eW52OR++voKcrPIaNZHr7xhA30FajZqGxvFMvbQbqfsLsFmPuu8EUcBk0tOrX0yjx2/ZKoBrbnUVZbDZZERRQBBAqkNXjexFm91krcDpPUr9YTED37sHwMVT5IIgENg+hqqMfI+xtSNIJgNtrh5Tp5KjU4Vm0OpB98evYt3d7+GoPhqcFSQRU3gwrYb3aLLr+PkbuPvhYVitDqxmOwFB7nI2DcFmdfDiY/OpLLfWZFdZLQ4+fXs1IS18adM+vNHX0NA4m+jUrRXX3zGQH7/YiMOhoCgq0a2DuPuRYeiaqZegwVC/cR1mq9e4lnxMN5DIUb3I+Gctx6dWSgYd4+a/StIn/7D3w79QHTKCXkLnY8RRbXXW5DpkIoZ2ZcA7d9X/hk4imkGrB22vG0dlei47X5uJaNCj2B0EtothzN8vNIuEjNGoq9VvXl82rjmE3Sq7pQrb7DI/fLERo1FPSXE1HbtEMPniLoRHNJ8Uj4bGmcKQEYkMPC+enKxyfHz0tAhvfKeLpiRqVC/P2YmiQPS4o+Va/V69ldxl23BUWVAPhxp0fiY63DaZgLgI+r5yM72fvx5rSQXG0EAESaRwwz4qDuYS2i2B4M7xJ+mOGo5WWN0AbOVVFG9PxRQeTHDH2AaNYSksY/PjX3Dw9xWoqkrctKH0eflmfFuFNvFsjzLrx23M/m3nCY8TJQGDQcfTr00gunVws81HQ0Ojadj+0g/smPFzTe2raNCh8zUxZcNHBLaNrjmuIi2bbS/9QO7SbZjCg+nywHQSLhvZJB6gk0VthdWaQTsFOKot/NnlRqqzi1DsTukbQSfhExHCtN1f1WQlNTVrVxzgm4/WYalFqb8GAdp1DGfC1M60igwgJi6kWeakoXE6k5tVzuzfdpK8L5/QMD8mTutCt15RZKaXIMsqsQkhdYpzHY/N6mDbpiyqKq2069SSmNjgRs81a8FGdr3zO+asIiJH96LrQ5fiF3P2hRE0pZDTjNQfFmMpLKsxZuBsUWMtqSD5q3l0uX96s1y376BYZn69GZtN9lrrdnRCkLy3gMz0NciyQmxCCA8+OapJZH80NM4E0tOKeenxBdgPf1/ycytJSSpAr5dQFLUmaeOWewfTy0v6vtlsZ/WSVJKTCoiIDGD4mHYUF1Xx5vNLUFUVRVZRgV79YrjjwaEeexfWlejx/WoaFZ+raGn7jSTj33X82e0mvjGMY2bMpex+dxaqUnsqfNaizZ5lsaqtZC1ovlWpXi/x1KsTaNshDJ1ORG+Q8A80YjB6D0Kbq+3YrDIHU4r55O1VzTY3DY3TjR8+34DV4nB5+XPYFczVdqwWBxazg6pKGx+9sZLM9BK384sKqnjkjr/45bstrFtxkH//2M2jd//Na88sxlxtx2J2YLPJ2G0y2zZlsnDOvpN5e2cl2gqtERz8cxUrrn65ptjanF3Elie+pPJgLgPe9p4N5BvVAkESawKzRxBEEd/o5hUYDmvpzxOvTKCi3EJVpY3qKhuvPbMY8N5jDcDhUNi7I5fyUjOBwae/6raGRmNQVZXkOjbcdDgUFvyzj5vuHuSy/ZtP1lFZbq0xiLW1frJZZRb9m8SEqd5rVDVOTKNWaIIghAqCsEgQhOTD//cYaBEEQRYEYdvh/2Y35pqnC6qqsvGhj92UQxzVVvZ98g+WIs8KAwAdb5uM6KGWQzTp6XjnBU0+V0+sXJLK0w/+y6tPL8JqdSCIAvoTpAtLTaQnp6FxJqDT1S19XlFUcjJdv++yrLBra86JXfvHUF3VuKJnjca7HB8F/lNVtR3w3+GfPWFWVbXn4f9OzhO7mZEtNqoy8j3uk0wGire7K4ccIbhzPIM+ug/Jx4A+wAddgA+SyUD/N+9wkc9qLlYtTeXPn7fXuE0UWUVAJSDAyKSLumA0eV64qyqNVkfQ0DgTEASBQcPi3RR7PKHTibRp7+pZUVVv0uTergcdu7iLM2jUj8a6HKcCIw7/+1tgGfB/jRzzjEAy6hGNeo+V9YrdgW+r2rMC2103nrgLh5C1YBOqohA9ri/G0KbpTHsi/v5lh4vyATgbDFZV2ug3OI7QMD9++XazyzEGo8SUi7tiaMK6OA2N05nLb+hLWnIRhfmVWCwODAYJm01GEFxrk3U6kXFTOrmcqzvcmDNpT56bZZMkAVESsNucLkhBAINRx/RretZrfordga20EkNoAKLUPEXeZxqNfTpFqKqac/jfuYC3VwyTIAibAAcwQ1XVvzwdJAjCrcCtALGxDavvOlkIokiHmyeR9PkcZPMxrgJBwBDoh2Q6cXdZQ5A/CZeOcNsu2+zkrdiBbHPQ6rxu6AMa3nfJE8WFntvXCKJTGmvMxA6YfHT8+fN2igqqCA71Zeol3Rgxvl2TzkND41Sgqiqqop4wo9DP38ALb09i59YcDqQWERzqQ2LbFvz45SaS9zq9M63jQ7jhzoEei62vv2MAzz8yD7tdxmFXEEUBnU7k5nsHUVpsZtHcJKorbXToEsH0q3vWueZTcchseuxzkj7+B0WW0fkY6fHk1XR5YPoZVU/WHJywDk0QhMVAKw+7ngC+VVU1+JhjS1RVdVuaCIIQrapqliAIicASYLSqqqm1XfdMqEOTrTaWXvo82Ys2o9gdNUkegl5C1EkMePduOtw8qV5jZi3axLJLn6+RslHsMgPeuZMOt0zGUW0hb/UuRJ1ExNBuXpuLnohH7/qbnKxyt+0Go8STr0wgLtFZ3G2zOti49hC5WeVExgTSd1AcBoOEqqqk7i9k/958Mg+WUJBXSXCoL2MmdqCD5jbROE0pL7Pw/ecb2LwuA0VWaNepJdfc2p/Y+PrXWFrMdlRVxce39hfX0uJqFs9NInlvAS0jAxg3uSOtvVxPVVVyl23j0D9r0fkYaXPVaI/qHKtvfZPUn/5z8Q7pfI30euEGuj5wicexZZsdUa87KwxesxVWC4KQBIxQVTVHEIRIYJmqqt6bfTnP+QaYo6rq77UddyYYtCNsfuordr3+C4rNtWBZMhm4OPk7/KJdixttZZUc+HU55txiwgd2Imp0bwRRpDq7kFntr3UTEZV8jXR9cDq735qFoJMAFUEUGfHLU0SP9fh3rZWNa9L57N3VLi5FnV4koU0LnpzhbE+Tl1POi48ucOpJWhwYTTpMJh2PPDeGrz9ax6GDJW5uS4NR4sLLujPpoq71npOGRnPisMs8ds9sigqqXFq1mHx0vPjO5FMu86bIMksueoacpVtxVFoQdBKiXqLnM9fR/ZHLa46zFJXxa+vLParmG4L9uaLgDxf344HflrPpkU+pPJSPPsCHTnddSK/nrkesY8LL6UhtBq2xSSGzgesO//s64G8PFw8RBMF4+N9hwBBgTyOve1qR8fcaN2N2hIO/r3D5OW/VTn6JvZwND37E1me/ZcnFz/LPwLuwV5pJ/nahx6wo2Wxl+8s/46i2YC+vwl5eja20kv+mPU1VVt1Si4+l3+A4pkzvhnRMwDuspR93/9+wmp8/emMlFeUWrIdVRawWB+XlVmY8tYiDacVuxgycqcd//rydslL3Dt4nImVfAe/PWM5TD8zh+8/WU5BXWe8xNDS8sXl9BmWlFre+Y3abzNw/6/c4UlW1yZtcpn6/iJwlTmMGTqEF2Wxj23PfUpaUUXNceXIWotGz2r3DbMVWevR7c+D35ay84VUq0/NAVbGXV7P73Vmsuun1Jp376URjDdoMYKwgCMnAmMM/IwhCX0EQvjh8TCdgkyAI24GlOGNoZ5VBc5g9t1xQDn8ojyDb7Cye+hSOCrOzsFpVcVSaKdl5gM2Pf0Fleh6Kp35FKs6sjeM3ywrJX8+v93yLCqqY99dul15oRflVvD9jOaqqUlxUTdahUjcRY1VRqSi31lpPI0oiO7dk12s+Kxan8Oozi9i0/hCHDpSwdEEyT97/D4cONLCzrobGcaTuL6x5OTsWWVbZv9dztvLxWMx2vvl4Hbde9jPXX/QDzz48l5Sk+r9QeiLps389ii0odpm0X5bU/Owf2xLFanc7DkDUSS6yeZv+7zO3pDW52srBX5c16EX4TKBRBk1V1SJVVUerqtpOVdUxqqoWH96+SVXVmw//e42qqt1UVe1x+P9fNsXETyfiLj7P41uTaNARc37/mp9zl25Dld1XNorVTsr3i2g1tCs6fw9Fy17c3orVTuWB3HrPd86sXVgsDheDZbcrZKSXsmdHLjaLsy6tIdS1h9MRrFYHP3y+0bniOzwfWVaxmB18/9mGBs1BQ+N4wsL9vNZZhrc8cfdlVVV59ZnFrFySis3m/KweSC7i1acXNcmLl2z1XIOmyjKy5agB840KI2psH7fnjc7XSMc7p9bE1RVZ9vpsEE0Gjw2JzwY06asmoNvDl+HTMhjRdPRDpvMzkXDpCEJ7tKnZZq/07oqTzVbipg/HFBaEcGyfJUFANOgRDO4JIDp/Ey2HuMarzHnFVOfW/gXbvT0HxUPLd6vFQfI+Z/Da5OPZrSGewNDJskr3PtG1HnMsqUkFiJLnMffvLeDBW/5g9m87sXtqj6GhUUcGD0/0+Nk1GCUmXHhidY6kPflkHSp1807YbTJ//ryj0fNLuGwkko97gonO10TsFFcFkuE/PE70uL5IJgP6IGdGdeJVY+jz0k01xwiiiCHYs8i5apfxa92y0XM+HdEMWhNgahHE1G2f0+Oxqwjt2YaIYd0Z8sX/GPrlwy7HRZzXDdmLu6DV8B7oTAamrP+QhEtHIBr1CJJI1Ng+jF/4Onpfk0tXWkEnYQj2J/HykQAUbUvhrx638Gv8lfyWcCV/druJws37PV4rIMjkcbvBIBEQYEQUBW64c6BT4/HwJQXBuX/aFT08NiA8sv+GOwbi53/ikoUj6A9nTXqjqKCK2b/t5I3n/mvyuIXGuYN/oJH/PTOagEAjJh8dPr56DEaJK2/sW6eC5oMpRcgOD25/FVKTCxs9v053XIB/bASSz1Hxb52fidaTBxI+0NXg6gN8GfP3i0xP+Z7x81/lssxfGPLpgy6JHoIg0Pm+i5F8XcXEBZ1EUMfWhHRNaPScT0e09jEnma3PfsOuN3+r8ZcLkojO18ik1e+7fchUVa1Jsy1LymDtPe+Ru3QbgijS+oJBDHzvHnwjW1CdW8wfHa/DXu5aX6YP8OWivV/jG+WqYrBxTTqfv7sGq9U1pmA06njr84vwD3R+CdKSC/nn911kZZTSOjaEydO7ktC2Bcn78pn1wzbSDxRjMukJi/CnXcdwho1pS6uo+hWHK7LCvTf8TkW599bvAEaTjvsfH0Hn7pH1Gl9D41gUWSElqRCbzUG7juEYD3tVVFUlJamATWsz0OkEIqICWbM0jayMMsJb+dOxawT/zU3CYnaPw8UlhvL8W/UrzzkeVVHIXryFA78spWhbCoYgfzrcOomES0c0uHmw4pBZc/tbpP74H5LJgGJ3ENwpjjH/vNSsfRebG60f2mlG+t+r2fXGr5hziogY1p0ej1/l0oSvNlRFAUFwqSfZ+vx37Jzxs1sqr2jU0/V/l9HnhRtcx1BVfvl2C4v/3YcoiTXKB/f833C69Ypq/A3Wk/178nnj+f9QFBW7zbtr8YJLu3HxlT1P3sQ0zgkUReWzd1axZX2m20veEfQGEUEQsbm9BErcfO8Q+g+Ja/D1i3eksmjiY9gqqhEEEcVmp/O90+jzyi1NUjdWnVNEyc4D+EaHEdIlvtHjnWq0fminGXFThxA3dUi9zqk8lEfZ3kP4J7QiqL1r76XiLcke61IUq50iD25HQRC4/Po+jJ3Ukb07czGadHTvE42xGWWtzGY7S+YlsX5VOgaDxIjx7Rg8LAFREmnfuSVvfjaN1UvTmPfXbkpL3LO99HoJ/xP0Yqsst7JsUTLJ+wpoFRXAqAkdNO3JswhVVdm6MZMVi1KwWh0MPC+eQcMTPbrA68OW9Rls2eDdmAHYbQpGk0hwqA8Wsx1BEHDYFc6f1qXBxsxaXE7hpv0su/wFl3R7gL0f/k1wlwTaXjO2QWMfi29kC3wjWzR6nDMBzaCd5jgsNlZc9RKZ8zYgGvUoNgdh/Tow+q8XMAY7s7OCuyaQuWCjWzqvaNAR0s3pxrRXVJPy3UKyF2/BNyaMjrdfQIsu8Qwd1cbtmk2N2Wzn2YfmUlRYVbMCO3SgmM3rMrj30eEIgkBAoIkJUzsT0sKXL99f6/ZwEQQYcF6812vk5ZTz3CPzsFocNYH7hf/s44ob+rjp7Gmceaiqyhfvr2HjmkM16fcpSYX8N28/T74yvlEao8sXJXtM6T8eQYAHnhiJ3S5TXWmnTYcw/ANqf8mqOJhLwdo9GMMCiRzZC1HnjBlvfORT9n3wF0iiRz1YR5WFna/PbBKDdi6hGbTTnPX3fUDm/A3IFlvNKqxg3R6WX/Ei4+bNAKDj7VPY894f7gZNr6PTnVMp3JzE/DEPI1dbUewOBEkk+av5DP7kftpeM67Z72Hp/P0uxgzAapXZvT2HpD35LkH5/kPiSNqTz4pFKQgCCKKAqqjc9sAQgkO892H75qP1VFfaXEoRFEXlxy83ERRiYsDQszMIfq6QmlTIxtWHXF50bFYHOZllLF+cwthJHRs0rsVsJzvLe6unY5FlFf8AI2F1SfNXFFbf+hZpPy5GMOgQEJB8DIxf8Bq5K3aQ9PE/XhPEjmDOdW8aqlE7mkE7jXFYbKR+v8jNnajYHOQu3051diG+UWH4xYQzfsGrLL/6ZSx5JYCAMTyI4d8/xoHflrH5sS9cmomqsoJstrLm9neIu3Bok4sfHyE3u5y05EKWL0r2GBuzWh1sWZ/hYtAEQeDaW/szfkondm3LxmjS0bt/a3z9vGdOOuwy+3bnuRWCH+Hrj9bTb1Bco9rba5xaNq07hM2DGo/NJrNmWVqDDJrN6uD5R+ZR4kWs+1hEUSAmNqhOxgxgzwd/kTZzidNoHTZc9opq5o97GMmgx1F9gr6CgkB4/1pVBDU8oBm005jj/erHIhp0VOcU12QwthzUhekpP1CekgWqSmC7GIq3p7L12W/dOmPXjKGXyFq0mfiLzmvSecuywidvrWLrxkwkUXAWonq6vih4jdtFRAYQEdk0X2jZoZCZUdYgEVqNU4ciK+zekUtRYRWVFRa3ti1HOLaQX1VVkvcWkLq/kOAQH3oPbO31M7Z6WRoF+VVuclhHEEVnmxedTsTXz8Ddjwyv89z3vPO759ZSVju24ooTni/5GOj1/A0nPE7DFc2gncaYwoOQfI2eEz5sDgLbuWZGCoJAULuYmp+Tv5rnojLghkrNE0JVVYq3p+KoNNOidzt0vs5aNbtdRlHUeiWMzJm1i20bM7HbZGpzqkiSyKBhjXcF6vQS7TqGk7THs4SRqqqNThzQODnk5VSwbGEymeklpOwrQFFUFFVFVTwbM6NRx7AxbQHniv/1ZxZz6GAJDruCXi/y3afrefi5MSS2C3M7d+OadLesxSO07RDGBZd2JzernIjIALr1jqqfAo4Xo6XKCj4RIVRnF3k+URQI69uBAW/feVKa/Z5taAbtNEaUJHo/fwObHvnURYFf52ui411TXXTbPGEtLveoAXkExeEgamwfinek8t+FT2MpLEUQRVRZocMLt7Kywp/d23JQVWetzfV3DCC+zYmzpRb/m+R1Vea8LwFJEpl2eQ+iWgedcLy6cOPdg3js7tkexZ1btPRvdLbj3p25/Pr9VrLSSwkK8WHSxV0YPqbtWdGO43Rhy4YMPn5zJQ6H4lHJRhQFBEF1doNWnbWJbTuEMXhEIgC//7CVg6nFNaoy8mHPxFsvLOHdr6e7GSQfD8oc4IzbxrdpQY8+0fSoh+rNsYT170jO4i1u21VFpceTV7Phf5+4rOAkk4HIUb0YO+flBl1Pw4lm0E5zOt05FdGoZ9sz31CdU4wxNIBuj1xG14cuPeG5racM5tDstTg8SG4JOomBH9yLqJOYN/IhbCVH3yhlUeLz+bnYfXxr3ooPpBTx8hMLeendE7faqK7yrEtnMEp06d6KuMQWDBwWT2R00xgzgFZRgTzz+vm8/MQCbDYFVXGuyvQGiXseGdYow7NjSxbvz1heY6Tzcyv48YuNFORWcMk1vZvqFs5Idm/PYeY3m8nKKMM/wMj4KR2ZMLVzvVYz4IyFffr2ao9dHI6gKCp6vcR5oxOx2xT6Do6le+/oGkmrlf+lepRIs9tlknbnuRXljxjfjp1bs90yavU60WP2b/H2VIq2JuPXuiWRI3vWWvDc9+WbmbvmAVej5WMkekI/Ot5+AaaWIWx86GOqsgoR9Tra3TCBfm/c7nU8jbqhGbQzgA43TaTDTRNR7I56NfWMv+g8dr42k7K9h466LUUBfYAv4+bPoOWAzqR8txDF7vqFzo9OwCHp3Vw8DrvMvL/2cO1tA2q9bmxiKGn73eWAVAWuvqV/nQPr9SW+TQs++PZSNqxJJ+NgCa2iAhk4LAEfL7qUdeXHLza6rThtVpkFs/cycVoX/E5QH3e2UVVpJS25iJyscn79djP2w2USZSVmfv1uK79+v5UevaO55tb+hEfU7W+9f08edXnnsDtkrr6lv0eD6c19CALVVe7O7649Ixk2pi3LFyXjcCgIgrNbxOSLnYo4R3BUW1g89Sny1+5GEAQEUcAQEsD5S94kINGzEEFY3w6cv+QtNj7yKYUb9qEP9KPTXRfQ/dErAed3M27aUBzVFiSTwaWHmUbD0QzaGUR9O1SLeh2TVr7L7ndmkfLtAhRZIfHyUXR7+FIMQc4HTWV6Ho4q1xVcRXALFL27EZBlZ6fqE3HF9X14/dnFLkbAYJToPziu2YzZEbIzy0jZV0BFuZXWcSH1Xikcj80mk5fjOTlHp5c4mFpMlx6nrxzXoQPFJO8rIDDIRI++MW6xRFVVSdqTT3ZGGS1b+dO5e6RXAWpVVflz5g7m/rkbnU483LXZ04HOVe1zD8/l1Y+mejX4drvM37/sYOmCZKqrbNRFsyi6dbDXv2nbDp7jqA6HTPtO4W7bBUHg6lv6MWJcW7ZsyESSBPoMjHWTb9v4yGfkr97lEsu2V1lYNPkJpu3+yuvqP7x/RyYue9vrvQiCgN7PWYqSt2on21/6kbJ9hwjuEk+PJ6+m5cATiyZruKIZtLMcna+JHo9fRY/Hr/K4P7RHG/T+Ptgrjho1n6oKRNmBIrl+PASBOsWi2nduycPPjeHXb7dwMK0Yf38DY6d04vwLmrfAef7fe5j14zbsDqfLcefWbP79YzdPvzYBH9+6CyYfi04notOLHssOFFn1KvR8qnE4FN5/dTl7djhjoJIkIIoi/3tmNG3aOxMkKsutzHhqIfl5laiKiigJBAaZeOzFcYSGucdn1608yPy/djuTfWqJkYIzxmW1OFi+KIWJ07p4PObdV5axb1feCcc6gsEgcdVN7opHq5am8ufP2ynMr3JuEKhpRWQ06hgzqQOBwd5rGGPiQoiJ85wBq6oqyV/Pd0/MUlSqMvIp2ZHm0lGjIRz4zdmI84h7sjI9j5xl2xjx85PEThncqLHPNbTCnHOcmIkD8GnVwqVlTURmKoKHV2+9QeL8Cz0/nI6nfaeWPDljAl/8eiXvfDWdSdO6NGsdWElxNb//sA2bTUY9nBhitTjIz6tgzh+7GzyuKAoMHZmIXu+6shEEaBHuR+u44MZMu9mYM2sXu7fnYLM6jY/F7KC6ysabz/+H43Cc6YsP1pCdVY7V4sB2+JjC/Co+eG2F1zGttcS4jsdmk71mnqanFZO0u3ZjJkpOzVKjSUf7TuE8/OwYt9Xwon/38e0n648aM5x/G5OPjrjEUG68eyCXXNOrznM+HsXu8NqrTJBELAWlDR4bnH3L1t71jsdGnGtuf8ep3apRZzSDdo4j6iQmrX6P2AsGI+p1CJJIRMdobr+2M8EhPphMzlYbPj56brxrkEts4XRi64ZMjzEYh11hzbKjzQxVVfWYCVkbV9zYl7YdwzEYJYwmHSYfHaFhfjz41EgXd5Oi1H3sgrxKdm/Poaig6sQHN4Al85I8GgtZVti1PQez2c7OLdluLVEUReXQgRKP8yotPnEB8rGIkuA1hpa6vxBvPkadTqRL91ZMu7wH7387nc9mXsETr0ygfWfXHl4Oh8IfP21zSyQ5kuL/5CvjGXheQqMSgiSD3q085gj28mqWX/USO1//pcGGpzw5y6Wr/bHYSiupyjg7O0s3F5rLUQNTWBCjfnsWxe5AsTtqatD6TldJT3OmQSe0beG2SjmdUFXVawymuLCaFx+bj6+fgd3bcpBlhXadWnLNLf2ITThxGw2jUcejL4wlPa2YQwdKCA3zpVO3VjWxpoK8Cr77bAO7tuYA0LVXJNfeOsDjw9xitvPB6yvYtysPnU7EYZfp3jua2x8c2ig9QvfreE6QsNtkykstNQK7npB0IlWVVlqEu7od4xJbsHt7Tp3noNOJjDnfc3F8YLDJa2PXsJb+PPL8iTUMS4qqkR2e/+qCAPl5lcTEBtd5vt4Y8PZdLLn4WWSze6G0paCMrc99S+WhPAa9f2+9x9YH+HgVPlAVBZ3f6enSPl3RVmgaNYh6XY0xA6e7LaFtC9p3allnY1adW0zhlv3YK+r3Nt9YevaN8Vx5e5jkvQVs35SFw6Ggqs6WNS8+toC8nAoyD5Xy7SfreeP5//j3j11UVnjuzRaXGMp5o9vQpcfRxImqSivPPjyPnVtzalZoO7fm8NzDc6mqdB/n8/fWsGdHDnabjLnajt2usH1zJt9+uqFpfhGHaechCQKciT2rl6YSFOyDr5/37M/IGPeSiouv6uls+loLoijg46PH5KPn9geG0irac3+8Hn2i0encHz8Go8SEqXWLtfoHGJC9rIwcDoXAJopvxkzoz9h/XyZ8YKeahrfHIldbSf5yHuZ8z9qLiiyjODy7Vv2iwwnpmuBWAiBIIuEDOmEKa7rSlnMBbYWm0STYyqtYfvXL5CzaXNMVoNPdF9J3xi11alDoqLaQ8v0iDs1egzE0gA63TqbVed3rfP0W4X5MvawHs3/bUWst07HYbTJff7SW1KRCZzGvorJvVx7z/trDs29MrFNG5rJFKdgsjpq4HTiLZz0lRFSUW9i2McNtVeFwqKxelkpaciF52eUE/H975x0fVZX+//eZOy2ZkFBDaAmQhCYgXaRI74iUBVFQ3JcuuF/FFSyrYvena1sRcVUUKa4uIFjpShPpIL2HDoGQUNOTKef3x4SQZO6UJJDEcN6vV14kc+8595nDnfvMOed5nk+Ylf5DbqPXgEZeIw4LIqVk9/az/L7yCNnZTho1rc7enfqzqWNxFzl75iqj/9aWL6Zs8IhGHf5AS90vMNENqvLUSz2Y+s4aUlM8l8mEgMbNqjNgaFMaNPH9Jchk0nj2tV68/9rKnOtLnA4XnbtH07V3bEDvOSjYTKt2ddi+5XSuwgK4Z4ZNmkfcMIcGUKNrC/qtmcxXQf3QWys1WExc2nWUWr2uB62knUli4/99yJllW0FKwjs1pcMnT1KxcX65ma7zXmJxpyewp2bgSMvEaLNiDgvhrv8+f8Psv1VQAp+KG8Ky3s9w/vc9+Sr+a8EWbp80mtufv99n2+zkNBbd8Rhpp5PcRVuFuzJ5s6dH0PLVhwplx5GDSUyfuoFz8ckBna9XH9BgENzephZPvtDNb/vJ/28VO7fF6x5r0bY2EyZd7+P0icu88vQSj30rPcwWja69Yhn1SFu/50op+fLjjWxZfzJXBsViNboThvXKRVmNPDiuHZ26RbNv1zm++2Yn5+KTqVbdxuB7b6fVHXU8G+Xh7OmrvPzUYo89OrNF47k3ehHdQH92qIfT6eLg3vOkpmQR26iabnSlLzIy7Ex5aw1HDyWhGQ04nS6i6lVmwovdipQfeHrJZva8O5e0U4mEd2jC7ZNG5zogKSVfhw7MVZvPizHYysBNH+eqzttTM/iu4YNkJl65vqQoBKbQYIbum+GhIu/MtnPqx/VcPXyGio0jc/e0FZ4ogU/FTSXl2FkS1+/1kK9xpmex9715NH/uPp8b83ve+5aUEwnX20uJMz2LPe/OI2ZMHyrUCzzPK6ZRNbr0jnWH7wcQDi6EoOCXOpdLsvuPeKSUfgMKqkVUwKAJj1JNBk0QHpF/hhceERKQMwN34vaq5YcZNKIZFUJ9zzSOHEpi87oT+WamvvS9hIBKld0KC7fdXqPQeXQ164QxZlw7Zk/bgqYJkG7HNHx0y0I5M3DX8yxOHl9QkInn3ujF2dNXORt/lYgaFbyG4Ptj77+/Zccrs3Mr4aedSuTUTxvot/oDqrZpiBCChuPu5uCnP+fbTxOagQoxNXOdGcDRb1ZgT07Pvz8mJc7MbPZ//CNt3nok37U1s4l6I7oWyW7FddQemiJgMpOucPLHdZxbvQOX8/rDM+XYOQxm/f0Ye0q6X92nY3NWejhDcE8uTv28odB2duxaP6ClOqPJnWNWHHr2a4hRJx3BqBno0Td/QITFavK7B5UXk0nj1HH/mlhb15/06rwL+mMhINhmpnGziIDt0KNzjximzBjGQ4+258FH7+CD6cNKVUi1Zp0w2rSPLLIzy76ayvaXZuaTdZEuF460TDY9MTX3tdZvPUztfu3QrGZMocEYbVZCG9T2qMGYuGGf7kzOlWXn/Lo9RbJR4R81Q1P4RUrJ9pdnsvf9b9EsJpDuYqo9F71JtbaNCGsUqeuQACxVQt1tfOBtFiR8HPNFaJiViS9256N31uB0uBBCYM92ohkN7tJFwi0pM2xUC36Yu8ujvcHgXi4M5NoRtUJ5dGInPp+yITdeQALjnuyYLyAiNSWLMyev0LxVLf7YdMpX/EouTqeLsIr+94GED+cdVjGItNQsjCYNl0sSVtHK06/0CHhvzhe2EAt3dikfwqlJmw5gMJt0lS2SthzE5XRi0DQ0s4nuC14l+ehZLu06iq12Naq2behxr1SIruneSy7wuRAGA6HR+uWyFMVHOTSFX07M/419kxfgyrLnfkDtKen80vtZ7o3/FlvtaoR3bsa5FX/k27MRJiMtXx3j1zFEP9CLPW/P0X2YRA7uWCSbGzWtztRZwzm8PxG73UmDxuGYzRpxB5PIznYS06gaQUEmqobbmDZ5PU6nC6dTYrZoWINMjA5g7+oardtH8nHrWsQdSEQIQUyjarkBES6XZM7MbaxeFofR5A7TFwaBJgSOnOVHTRO5EinXMBgE4RGBLZ+161iXVUsP6yoc2CqYef2D/hw/eonQMCv1YqqUuEJA/K/b2D5pBlcOnCS4RhWavzCKmDG9C2XH5b3H2TzhPyT8thvNYqL+qJ60fedvuSXciosxJIh8/wF5MJiMHoFNodE1fTqmBg/3Y+978zxV5K0mmvxjWPENVuiiHJrCLzte+0pXrNBpd3Dyh3VEDenExW2HPQIQBBBWIKJLj6ZPDefk97+TcvQsjrRMhMGAwWqixcsPEhJZ3W97b2iawWNpreFt+ftrc2cUtSMrsWr5YS4kptLotup06h7tUyFbD5NJ86jmDrD85wOs+SUOu92ZWwleCAiqYCasUhChoVa69WvA+lVH2bc7AU0TSAmVqgQz8cXuAV07ukFVoupXIu6gZ53NpPOpnDl11Z3WUAqc/Gk9v93/Zu6eU/KReDY9/hGpJxNo+cqYgPpIOXaWxR3H55ZnczicHJm1jITVO7DVjSBp437MYTYaPz6Ypk+NwGAsfL5ktfaNMdqs+UrAgVtIt/7I7oX+EmCrVY0eP77BmnvfcBf/Fu6Vjo7TJlKlRUyh7VMEhopyVPjEkZHFfysMAC8VMNq8MxZreEU2jZ+qK1NTq29bei952+91nFnZHP3fKg5NW4jL7iTyng40e3pEvry4skhmhp0jh5IwW4zENKjqUd5r/Jj5JF/13EuxWIxM+lcfoupfT+xOiE/m5PFLVKlqI7ph1UI9RF99ZjHH4y7pHus1oCGj/9Yu4L5uFFJKFtQfRerJ8x7HtCALI8/N96vpB7B+7L+Jm7Uc6SWXK7fPYAt1BrSn27yXi2TvhW2HWNbrGaTDiSM9C6PNSkjd6vRfOwVLxaLNBF0OJ0mb9uNyOKnWvglGa9Fqiiquo6IcFUUi/ewFfmrzqFdnBhAaW4tLO4/qOjNwfyMPhIyEy2x/cQb2lHQcqRkkx53hwMc/MmDdFMIa+A4jLy1WLD7IvK+2o2kGtyq2xciTL3TNF+mXkuzpzMAdBXkhMTWfQ4uoFeo1Edkf3sQqDZrAWkz5nKJiT0knLV5fncFgNnJp19GAcg0T1u7268zAHVV7etFGrhw8RcVGkYW2t2qbhtx7eh4n5v9GWvwFqraOpVaftgHlUXrDYNSo3qlZkdsrCodyaAqvbPj7h2QmXvF+ghBUbhWLdLowVgjCUWC5BoOgSqvAkmTXPvgvMhMv54Y5O3KSTFePeJ3BO78o4ju4eezbdY55X23PCZV3P2wzMxy8+8pKJk8fmrtkWb1GBRLOpni0d9hd1KlbtIg8Pbr1acDRwxc8wvU1zZCr6FzSGIMsGIwaTh1n5LI7CAoP7P0H16pK8uEzAZ3rzMhm5+tfERIZTlBEFerf3z3g6wCYQoKI/WvfgM9XlC1U2L5CF5fdwZmlW3zOzkKiwgmpE07koA5Yq4QhCuxdGK1mr7I1ecm8eJWkzQc8a9pJSfLhM7pLVtdPkST8vpu9H8zn2LzVOHQCS24GS37Yp1uRxOVysXndidy/hz/YykODzGTWaN6qJuER3qV40hMuseO12fzS/zm2PPUpyUfP+rSnbYdI2rSPxGzREMLtyEwmjWGjWlBTp4xVSWAwGal/X3cMBaJchWYgrEFtwhoGNvNu9vSIQtU0PD53NXvenccfL0xnQf3RxC/f6vN8e2oGcTOXsf3lmRyf/xvObN9pJoqyi5qhKXSRUvp0ZprVTOdZz7nD4E1GBmyYyvpH3uPsr9sBqBBdgw6fTqByc/9aUc6MbK/LOkIzeAiQXsOemsGynk9xcccRZE7AhcFspPv3r1Onv29V7eJywUuV/OwsZ75K9W3aR+IY34F5s/7gypUMjEYDXXrGcu9Drbz2fXnvcRZ3/gfOLDuuzGzOrtzBoWkL6fHjG9Ts2Vq3jRCCsU92pOeAhuzcFo/ZrNG2Q1RA+nU3kzumPE7y0bNc2HYIIQwgIKh6JXr8+EbAfdTudwfNJ41i1+v/xWB2P7Jcdqdb1sXHPXotanb1iNcYmfAdxiDPyiGX9hxjabeJuLLs7rJTIUFYng1l4IapBNcom8oSCu+ooBCFVxZ1HE/Sxv0erwuTxqBtn1G5medSliM9E2eWHUulwB+kUkrm17+ftJOe2lmWqmGMPDdfV6J+w2MfcuizRZ61q4Rg+In/EVIn3KPNjWL6RxtYv+aYh1yMxWpk7JMdadM+/x6OlO76jmaz5lcXbmH7x7iw5aDH69bwiow8Oz+f83dkZpO4YR8Gk0b4nbcVKcIvELKupOLMyCIoonKRwv4v7ojj0u5jhERVJ+Ku5giDgawrqRyevphzq3ZgqxNO48fu8fkFKOtSMgm/78FksxLeqSkL6o8iI8F/4rkpNJi7vnqeyEH5xTKllHzX4EFSCsx+hVGjZq/W9F78r0K/T8XNx1dQiFpyVHilwydPYqoQjLhWU04ItGALnWc8q+vMwF3TrjDOzN2toOO0pzyWprQgCx0+m6DrzADiZi7Tr7AvJVsmfurzmi67g4s7j3A1LrC9mYIM/EtTTAWWEjWjgUqVg2nZ1jNEXgh3cIY/Z5adnMalHUd0jznSs7i062ju30fnrGRO+FBWDX2ZFQMnMTdiGGdXbi/Cu/FOWnwSy3o9w9yIYSyIHsX8evdzZunmQvdTpWUssWP6UKNrC4TBQNqZJH5o/BA7XplN/LKtxM1YyqI7xxM3e7nXPiyVQ4m6pyM1e7bGaLVQ/74eHsvcukiJQ0f65cr+k2QkeEaGSoeTcyu256saovhzoByawiuVb49m8O7pNHr0bqq0bkC9EV3ot/oDokf1vOHXunLwZH5pDoMBo81CeAd9hWwpJa5M73sdSRu9q1Qfm7uKORF/YWmXJ/mp5Vi+b/JXLu87EZCdUkqky0VEzVBeeLM3MY2qufesjAbadojkpbf7ohVTmdu7shu5tawubD/M+kf+jSM1A3tyOvaUdLIupbDynhdJi78xopAuu4PFnf5BwpqduLIdODPtpJ1KZNXw10ja6jmDLAxbnv6MzAtXc/PTpNOFMyOLDX//MGDpocaPD/Zbhcb9PpzU6NbC43VHWibCx/+Vv5JtirKHcmgKn4REVaf9lMcZtPVTus55iWptG93wa2QmXeGPf36R30G5XGRfSWP7pC912wghsEV5T7oOrq1fJDdx4z7WPfI+2ZdTsKdk4EzP4uqh0yztOgG7l706cM+c1j3yPv+19WeWqTcL2z+G7UIiL73dlxkLRjH92/t4dEInQkILX+E9L+ZQG1VbN/Aswog7Aq9yc/fMeP+U73XLjbmcLuJmLC2WDdc4vWgTWZeSPYJ1nBnZ7Hrj6+L1vXCjrrClKzOb/R//EFAfFerVoNeit7DVqYbRZsVgNYNB5Ju1GYOtNH/+ft1Ix8otvC9vVoipWeiVBkXpoxyaotSJ/2Xb9WXNPEiHk5M/rvParsMnT+q+bjAZaTpxuO6x3W/P8ZS8lxJnlp0T83/TbSNdLpZ2m8jRr391BxpIyYUtB1nW42lOLdrIrwOe5ytLH2Zb+rBq2Cukn9XPvQqUTl8+gznMhpaTW2YwGzHarHT55oXc/bOUY+eQOuKWriw7KUcDV5X2xZX9J3UL7CIll/ccK17nPrbhdr35TcDRqhFdbmf4iTkM2vYZg3d9wfDj/6PR3wdR8ba61OzZmm7zX6bFSw/ottXMJtpPHY8WfP1LiDAY0IItdPh0QqHejqJsoKIcFaWO0AxeH3C+klpr92vHHR8+xpanPs15uAsMRo0G4wZSd3gX3TZXD53W3XdzpGaQfEQ/NP7cqh0kx8Xjys6f4+XIzGLVsFeQDldun6d+3kDS5gMMPTgbU0iQV9t9UbFxFMMOf8XhLxaTtPUQFRtH0nDcwHxlwKp3asqFrYdwFQgxN9qsXpdpC0uFmJoYg626SfOhAYbceyNqSCeOfbNS95jQDJxZspm6QzsH1JcQIl8KQPspjwdsR8wDvQmpG8Ged+aSfCSeKi1jaf7C/V73iBVlm2I5NCHEcOBVoDHQTkqpG5YohOgLTAE0YLqU0n8tJMUtQ62+7XQrQRhMRurd61tks8kTQ4l5qA+nF27EnppBrV6tqVDfe9HYKi1j3NVLCkQnGkOCqNS0rm6bC38c1i2cjEsiXfntlk4X2VfTOPrNChqNu9un7b6wVg2juQ9h1Cbjh3Dws4XuOoE5zlRoBkyhNuqP6lHk6+YlanBHNv/jY3dwRJ7x0oItAeUX+qLte49y7H+r9IN6nJLsy57J6DeLiM7NC6WOrii7FHfJcS8wFFjr7QQhhAb8B+gHNAHuE0I0KeZ1FeUIS8UQOnw2AS3Ikrv/YbRZsUVVp9XrD/ltbw61ET2qJ43G3e3TmQE0f/5+j3p6QjNgrmgjakgn3Ta22tXQClGDz5GWGbDmlZSSxI372DzxEzZP/ITEjfs8BEevcfXQaX7p9xyzLX1Y0OBBanRvSXjH2xCaAWHUqDOwPXdv+Q8mW9FmhgXRLGYGrPuIys3qowWZMVYIwlypAh0/n0jEXcVzAMERlandr53uzFy6XFQvZv+KW5NizdCklAfAr2ZVO+CIlPJYzrlzgXsAzwQnxS1LzAO9qdauMYe+WET62YvU6t2GeiO73/BirpWbR9Nz4ZusHzeZtNOJICXVOzen88xn0Sz614oa0olN46d6vC6MBqRTeswyDGZTQCrbUko2/H0yx75emRtWfviLxdQb2Y2Onz+V73OVdiaJhe0fw56c7r6e3cGZRZsIqRfB6JRFaGZTkWoOSim5euAk4FZGKPhZDo2pxT07Pifl+DnsqRlUbBx1w3Ld2r43jvO/78aedn0GqAVbqDe8C2GxpaMOoPhzUxJ7aLWA03n+PgPc3DIOij8lYQ3r0O79v9/069To1pJhh2aTdeEqBovJb8V3Y7CVvivfZ8Xdk8hOSUcIA65sO7GP9Cfuy6W5oefXEEYDDR7u79eOcyu3c+yblfnynRxpmRyfu5p6I7pSq9f13NG9/57vlvDJ4zxddgfpZy9yeuEm6nnZM/RFwu+7WTvqLbJylvfMlSrQ5esXdGdf/hy0e6a5n4TVOzFXtFF3eBe/NRQrNo5i4OZP2PHyTBLW7sZcqQJNnhhKo3EDC/1eFAoIwKEJIVYAenrtk6SUP91IY4QQY4GxAJGRha+WrVAEihACS9Uwsq+k4sy2o5l95zNVaRnLiFNzSdx0AHtyGtXaN8FSMYTwOxqz4dHJ1/OZhKDrnBcJ8ZFScI242ct1owgdaZnEzVqez6ElrNnp3i8reG5qBokb9hbaoaWeOs+v/Z/Pd31HWia/DnieIXtnBGT/NVx2ByuHvkzCml04MrLRLEa2Pvs5d339AnW9LONeo2KjSLp9+0qhbFcovOHXoUkpi5tFGw/kDYmqnfOa3rU+Bz4Hd+mrYl5XofDK0W9WsPWZaWRdSkYYDMSM6U27D/5Pt97fNYTBQPUCEYTRo3oSNbQz59ftwWDUCO/Y1K9zvIavxF1XgSAUW51q+aqEXEOzmrF5ybnzxcFPf9Z1kC67gwOf/kTbt8cG3Nf+j3/k3OqduSKw19Ii1o5+ixqn52KpXDRJHIWisJREHtpWIFYIUU8IYQZGAj+XwHUVCl2OL/iN9eM+ICPhUk4FjGyOzP6FNfe+7rftpT3H2P7qLLa/MpOLO90lqoxBFmr1akONbi0DdmYA9Ud01a0ib7RZqTcyv1r1bROHYwz2dLbCYCB6dOG/c17Zd8IjDQHAle3gyv6Therr0LSFuormwiA4+YP3PEKF4kZTLIcmhBgihDgD3AksFkIsz3m9phBiCYCU0gE8DiwHDgDfSim91yVSKG4y2yd96fEAdmZmc3bldp+CpFv/+TmL2j/O7je/Ydeb/2NxpyfYOH6q16hEf0QO7kTVto3yOTWjzUqV1g08Ii5rdG1BqzcfRrOaMYUGu3/CbPT48XWCqlcu2LVfqrRp6K6sUQDNanZXKsmDMyubg9MWsrjzP1jSdQJxs5bhypNm4UjVr3nocjixF9TIUyhuIqravuKWY6axp67siCk0mM4z/6kbvn9+/V5+6ftPjz0vo81Kjx9e9yrr4g+X3cHRb1YQN8tdlDd2TB+iR/fEoFM5BdxV78+v3Y1mNRPR9fZCzQjzkp5wie8bjXFHTebBFBrM0IOzCY5wO0lntp2lXSZwec/x3OAVo81K+J230WvpvzBoGuvHfUDczGUeuYRakIW7t3xCpdvqFslGhUIPVW1fociDt+g76XQRUk8v/gniZi3DobOs5kjL5PCXRa+daDAZiX2oL/3XTKb/msnE/rWvV2cG7py9yEEdqNW7TZGdGbjzwPqv/ZDKLWMwmI0YzCYqt4im/28f5jozcItlXt573CMSM3HTPs4scVfdb/HSA5jDbPnsNtqs1BveRTkzRYmiSl8pbjmaPXcf21/4Mt9DWhg1QhvUpkqLGN02jtQM/aoWuIVG/4xUbh7NPX9MI/PCVcBdnaQgx+at1o/ETM3kxIK1RN7dAVvtagze9QW7357DmSWbMVeqQOPHBxPzQK+b/h4Uirwoh6a45Wgyfgjp8Rc4MPUHDGYTLrudKi1j6f79a17bRA29i9OLNukuORYlB6wsoefIruG1QooQ+aRbgmtWpf1H4+Gj8TfaPIUiYJRDU9xyCCFo+85Ymj9/P1f2nyQ4opLfkllRQzqxf8p3XNx5JDegRAuyENYoknr3di0Bq0uHBn/ty9lftnk68iALMWP6lJJVCoU+yqEpblksFUM88sq8YTBq9F35Poe/XOIO4HBJoh/oRcOxA72WzCoP1B7QnrrD7uLEd2vde4jCPWtr8Eh/qndsWtrmKRT5UFGOCoXCJ1JKEjfs48R3axGagfr3dqNqm4albZbiFsVXlKOaoSkUCp8IIajesamakSnKPCpsX6FQKBTlAuXQFAqFQlEuUA5NoVAoFOUC5dAUCoVCUS5QDk2hUCgU5YIyG7YvhEgCCqdjUTJUBS6UthF/YtT4FQ81fsVHjWHxKO3xi5JS6ooAllmHVlYRQmzzlgOh8I8av+Khxq/4qDEsHmV5/NSSo0KhUCjKBcqhKRQKhaJcoBxa4fm8tA34k6PGr3io8Ss+agyLR5kdP7WHplAoFIpygZqhKRQKhaJcoByaQqFQKMoFyqH5QQgxXAixTwjhEkJ4DVUVQvQVQhwSQhwRQjxXkjaWZYQQlYUQvwoh4nL+reTlPKcQYmfOz88lbWdZw9/9JISwCCHm5RzfLISoWwpmllkCGL+HhBBJee65R0rDzrKKEGKGECJRCLHXy3EhhPgoZ3x3CyFalbSNeiiH5p+9wFBgrbcThBAa8B+gH9AEuE8I0aRkzCvzPAeslFLGAitz/tYjQ0rZIudnUMmZV/YI8H56GLgspYwBJgPvlKyVZZdCfB7n5bnnppeokWWfWUBfH8f7AbE5P2OBT0vAJr8oh+YHKeUBKeUhP6e1A45IKY9JKbOBucA9N9+6PwX3ALNzfp8NDC49U/40BHI/5R3XBUAPIYQoQRvLMurzWEyklGuBSz5OuQf4SrrZBFQUQtQoGeu8oxzajaEWcDrP32dyXlNAdSnluZzfE4DqXs6zCiG2CSE2CSEGl4xpZZZA7qfcc6SUDuAqUKVErCv7BPp5HJazXLZACFGnZEwrN5TJZ55SrAaEECuACJ1Dk6SUP5W0PX82fI1f3j+klFII4S1PJEpKGS+EqA+sEkLskVIevdG2KhQ5LATmSCmzhBDjcM92u5eyTYpiohwaIKXsWcwu4oG83/Bq57x2S+Br/IQQ54UQNaSU53KWJBK99BGf8+8xIcQaoCVwqzq0QO6na+ecEUIYgTDgYsmYV+bxO35SyrxjNR14twTsKk+UyWeeWnK8MWwFYoUQ9YQQZmAkcMtH6uXwMzAm5/cxgMeMVwhRSQhhyfm9KtAR2F9iFpY9Armf8o7rX4BVUlVJuIbf8Suw3zMIOFCC9pUHfgYezIl2bA9czbO1UGqoGZofhBBDgKlANWCxEGKnlLKPEKImMF1K2V9K6RBCPA4sBzRghpRyXymaXZZ4G/hWCPEwbjmgEQA5KRCPSikfARoD04QQLtxfst6WUt6yDs3b/SSEeB3YJqX8GfgS+K8Q4gjuzfuRpWdx2SLA8XtCCDEIcOAev4dKzeAyiBBiDtAVqCqEOAO8ApgApJSfAUuA/sARIB34a+lYmh9V+kqhUCgU5QK15KhQKBSKcoFyaAqFQqEoFyiHplAoFIpygXJoCoVCoSgXKIemUCgUinKBcmgKhUKhKBcoh6ZQKBSKcsH/ByTu/TWlvajnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import sklearn\n",
    "import sklearn.datasets\n",
    "import init_utils   #第一部分，初始化\n",
    "import reg_utils    #第二部分，正则化\n",
    "import gc_utils     #第三部分，梯度校验\n",
    "#%matplotlib inline #如果你使用的是Jupyter Notebook，请取消注释。\n",
    "plt.rcParams['figure.figsize'] = (7.0, 4.0) # set default size of plots\n",
    "plt.rcParams['image.interpolation'] = 'nearest'\n",
    "plt.rcParams['image.cmap'] = 'gray'\n",
    "### 读取并绘制数据\n",
    "train_X, train_Y, test_X, test_Y = init_utils.load_dataset(is_plot=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 定义神经网络模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def model(X,Y,learning_rate=0.01,num_iterations=15000,print_cost=True,initialization=\"he\",is_polt=True):\n",
    "    \"\"\"\n",
    "    实现一个三层的神经网络：LINEAR ->RELU -> LINEAR -> RELU -> LINEAR -> SIGMOID\n",
    "    \n",
    "    参数：\n",
    "        X - 输入的数据，维度为(2, 要训练/测试的数量)\n",
    "        Y - 标签，【0 | 1】，维度为(1，对应的是输入的数据的标签)\n",
    "        learning_rate - 学习速率\n",
    "        num_iterations - 迭代的次数\n",
    "        print_cost - 是否打印成本值，每迭代1000次打印一次\n",
    "        initialization - 字符串类型，初始化的类型【\"zeros\" | \"random\" | \"he\"】\n",
    "        is_polt - 是否绘制梯度下降的曲线图\n",
    "    返回\n",
    "        parameters - 学习后的参数\n",
    "    \"\"\"\n",
    "    grads = {}\n",
    "    costs = []\n",
    "    m = X.shape[1]\n",
    "    layers_dims = [X.shape[0],10,5,1]\n",
    "    \n",
    "    #选择初始化参数的类型\n",
    "    if initialization == \"zeros\":\n",
    "        parameters = initialize_parameters_zeros(layers_dims)\n",
    "    elif initialization == \"random\":\n",
    "        parameters = initialize_parameters_random(layers_dims)\n",
    "    elif initialization == \"he\":\n",
    "        parameters = initialize_parameters_he(layers_dims)\n",
    "    else : \n",
    "        print(\"错误的初始化参数！程序退出\")\n",
    "        exit\n",
    "    \n",
    "    #开始学习\n",
    "    for i in range(0,num_iterations):\n",
    "        #前向传播\n",
    "        a3 , cache = init_utils.forward_propagation(X,parameters)\n",
    "        \n",
    "        #计算成本        \n",
    "        cost = init_utils.compute_loss(a3,Y)\n",
    "        \n",
    "        #反向传播\n",
    "        grads = init_utils.backward_propagation(X,Y,cache)\n",
    "        \n",
    "        #更新参数\n",
    "        parameters = init_utils.update_parameters(parameters,grads,learning_rate)\n",
    "        \n",
    "        #记录成本\n",
    "        if i % 1000 == 0:\n",
    "            costs.append(cost)\n",
    "            #打印成本\n",
    "            if print_cost:\n",
    "                print(\"第\" + str(i) + \"次迭代，成本值为：\" + str(cost))\n",
    "        \n",
    "    \n",
    "    #学习完毕，绘制成本曲线\n",
    "    if is_polt:\n",
    "        plt.plot(costs)\n",
    "        plt.ylabel('cost')\n",
    "        plt.xlabel('iterations (per hundreds)')\n",
    "        plt.title(\"Learning rate =\" + str(learning_rate))\n",
    "        plt.show()\n",
    "    \n",
    "    #返回学习完毕后的参数\n",
    "    return parameters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 初始化参数\n",
    "初始化的三种方法：\n",
    "1.1：使用0来初始化参数。\n",
    "1.2：使用随机数来初始化参数。\n",
    "1.3：使用抑梯度异常初始化参数（参见视频中的梯度消失和梯度爆炸\n",
    "经实验抑梯度异常初始化效果最好"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 抑梯度异常初始化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "W1 = [[ 1.78862847  0.43650985]\n",
      " [ 0.09649747 -1.8634927 ]\n",
      " [-0.2773882  -0.35475898]\n",
      " [-0.08274148 -0.62700068]]\n",
      "b1 = [[0.]\n",
      " [0.]\n",
      " [0.]\n",
      " [0.]]\n",
      "W2 = [[-0.03098412 -0.33744411 -0.92904268  0.62552248]]\n",
      "b2 = [[0.]]\n"
     ]
    }
   ],
   "source": [
    "def initialize_parameters_he(layers_dims):\n",
    "    \"\"\"\n",
    "    参数：\n",
    "        layers_dims - 列表，模型的层数和对应每一层的节点的数量\n",
    "    返回\n",
    "        parameters - 包含了所有W和b的字典\n",
    "            W1 - 权重矩阵，维度为（layers_dims[1], layers_dims[0]）\n",
    "            b1 - 偏置向量，维度为（layers_dims[1],1）\n",
    "            ···\n",
    "            WL - 权重矩阵，维度为（layers_dims[L], layers_dims[L -1]）\n",
    "            b1 - 偏置向量，维度为（layers_dims[L],1）\n",
    "    \"\"\"\n",
    "    \n",
    "    np.random.seed(3)               # 指定随机种子\n",
    "    parameters = {}\n",
    "    L = len(layers_dims)            # 层数\n",
    "    \n",
    "    for l in range(1, L):\n",
    "        parameters['W' + str(l)] = np.random.randn(layers_dims[l], layers_dims[l - 1]) * np.sqrt(2 / layers_dims[l - 1])\n",
    "        parameters['b' + str(l)] = np.zeros((layers_dims[l], 1))\n",
    "        \n",
    "        #使用断言确保我的数据格式是正确的\n",
    "        assert(parameters[\"W\" + str(l)].shape == (layers_dims[l],layers_dims[l-1]))\n",
    "        assert(parameters[\"b\" + str(l)].shape == (layers_dims[l],1))\n",
    "        \n",
    "    return parameters\n",
    "parameters = initialize_parameters_he([2, 4, 1])\n",
    "print(\"W1 = \" + str(parameters[\"W1\"]))\n",
    "print(\"b1 = \" + str(parameters[\"b1\"]))\n",
    "print(\"W2 = \" + str(parameters[\"W2\"]))\n",
    "print(\"b2 = \" + str(parameters[\"b2\"]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "第0次迭代，成本值为：0.8830537463419761\n",
      "第1000次迭代，成本值为：0.6879825919728063\n",
      "第2000次迭代，成本值为：0.6751286264523371\n",
      "第3000次迭代，成本值为：0.6526117768893807\n",
      "第4000次迭代，成本值为：0.6082958970572938\n",
      "第5000次迭代，成本值为：0.5304944491717495\n",
      "第6000次迭代，成本值为：0.4138645817071794\n",
      "第7000次迭代，成本值为：0.3117803464844441\n",
      "第8000次迭代，成本值为：0.23696215330322562\n",
      "第9000次迭代，成本值为：0.18597287209206836\n",
      "第10000次迭代，成本值为：0.15015556280371817\n",
      "第11000次迭代，成本值为：0.12325079292273552\n",
      "第12000次迭代，成本值为：0.09917746546525932\n",
      "第13000次迭代，成本值为：0.08457055954024274\n",
      "第14000次迭代，成本值为：0.07357895962677362\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "训练集:\n",
      "Accuracy: 0.9933333333333333\n",
      "测试集:\n",
      "Accuracy: 0.96\n"
     ]
    }
   ],
   "source": [
    "# 运行\n",
    "parameters = model(train_X, train_Y, initialization = \"he\",is_polt=True)\n",
    "print(\"训练集:\")\n",
    "predictions_train = init_utils.predict(train_X, train_Y, parameters)\n",
    "print(\"测试集:\")\n",
    "init_utils.predictions_test = init_utils.predict(test_X, test_Y, parameters)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title(\"Model with He initialization\")\n",
    "axes = plt.gca()\n",
    "axes.set_xlim([-1.5, 1.5])\n",
    "axes.set_ylim([-1.5, 1.5])\n",
    "init_utils.plot_decision_boundary(lambda x: init_utils.predict_dec(parameters, x.T), train_X, train_Y)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 正则化\n",
    "问题描述：假设你现在是一个AI专家，你需要设计一个模型，可以用于推荐在足球场中守门员将球发至哪个位置可以让本队的球员抢到球的可能性更大。说白了，实际上就是一个二分类，一半是己方抢到球，一半就是对方抢到球，我们来看一下这个图：\n",
    "#### 读取并绘制数据集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "train_X, train_Y, test_X, test_Y = reg_utils.load_2D_dataset(is_plot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
